Your argument (opinion or proclamation) about quality being better than quality is not based on actual facts and/or science and is also not even appearing to be true.. especially since there is not even any good way of differentiating what is meant by quantity versus what is meant by quality..

If we might say that both kinds of pushups are pretty much exactly the same, but the quantity pushup goes up and down within about a second.. perhaps slightly more or slightly less than 1 second per pushup, and the quality pushup goes down for 2 seconds and back up for 2 seconds.. Then perhaps those could be comparison points, yet none of us needs to comply with any kind of way that one guy is going his push-ups versus another guy, even though surely any of us could learn that the different styles of pushups are going to have differing kinds of advantages - but still in the end it remains discretionary in terms of what a guy would like to achieve and guys could find advantages and disadvantages in either style.. but he still has to choose.

Also a guy who decides to modify his pushups by doing them from his knees rather than doing full pushups, and personally, I would suggest that if a guy is not able to do 3 sets of 10 full body pushups, then it is probably better for the guy to modify the pushups and do them from his knees rather than doing 3 sets of 5-8 pushups.. and surely we may well have differing opinions on this, yet I had already provided some links that describe the differences between high weights and low reps versus low weights and high reps...

so in some sense a guy who is doing quantity over quality is choosing to do more reps and less weight, and the guy who is doing slow pushups, he is choosing to do higher weight and fewer reps.

Either way there is resistance training and strength training going on and an older guy (or an out of shape guy or a guy who is maybe not recently doing high strength exercises) is going to likely be better off to employ higher reps and lower weights yet he is still going to gain strength from that and he might be able to switch over to high weight and lower reps at some later date.. .. that is if he wants to do that.

Good results can be measured both in terms of how many pushups that can be done, and also in other ways that may well be individually measured - but also, the measurements of improvement is not necessarily scientific in regards to doing pushups one way versus another way, including finding a way that works for some of us that causes us to continue to do the pushups every single day and several times a day.. and surely there can be some value in terms of doing the pushups every day versus deciding to take breaks in order to allow the body to recover when the body may well not be injured but there could be some wearing out going on..  which none of us can really judge for others since adding exercises to our routines can cause us to be more physically exhausted.. including that we might have too many things going on in our lives so maybe we have to reduce the number of pushups that we are doing or to reduce some other exercises that we are doing in order to accommodate everything.

Our body needs time to recover, so we have to figure out our pace..

Yet, I will still say that similar arguments can be made in regards to bitcoin purchases over a long period of time, and some guys might proclaim that they are trying to perfect their bitcoin game, their entry price points, and they do this and that and the other thing to attempt to maximize their BTC buying price performance, so then they might become so proud that they bought $10k worth of bitcoin at the $700 price dip in late 2016 (so they bought 13 BTC)  and they bought another $24k worth at the $6k dip in 2020 (so they got 4 BTC more), and maybe they even bought another 1 BTC at $30k in 2023, so they have 18 BTC for a total of $64k (which is an average cost of $3,555 per BTC), and they might even end up happy for themselves due to their emphasis on the perfect ways to buy bitcoin including waiting for dips and blah  blah blah..   

yet, when push comes to shove, the guy who had been consistently, persistently, continuously buying BTC for the last 8 years may well be way better off even if he ended up spending way more, but he ends up with way more BTC.. so if he had been buying $250 per week for the last 8 years, he would have had invested $104.5k  and he would have purchased 30.65 BTC, and his average cost per BTC is right around the same $3,410 per BTC, but he has 12.65 more BTC, so in the end he has way more BTC because he was ongoingly consistent and persistent in buying those coins.

With pushups what are we attempting to measure?  maybe there is some importance of tailoring some kind of measuring system or even some kind of consistency that allows a guy to stay in the game?  Does that fit into a category of quantity, quality or maybe it should be whatever the guy wants to do, and he may or may not be able to compare what it would be like to do another way, but it is up to him to both put his preference into practice and also to figure out the extent to which he might want to deviate from his preference.

There may or may not be value in doing pushups every single day, but I think that part of this challenge is to try to put a system in place in which you can do push-ups every day.. and yeah, you don't have to do 100 push ups, you can do however many you like and you can even skip days if you like, yet for me, I personally consider it better to do the pushups every day rather than to skip, and you can even choose your quantity and/or quality of pushups and preferably each of us finds a way that each of us can do them every day, even if other guys might speculate that they are not doing their push ups in a good enough way and some guys might choose not to do pushups every day.

I finished my pushups for today (my 48th day of pushups), and besides my own testimonial about feeling improvement in the quantity and the quality of my pushups and even in the amount of rest that I may or may not need between push-up sets, you should still be able to see from the mere quantity and times of my push-ups in the below-attached spreadsheet that there appears to be improvements in the pushups.. just by looking at daily quantity and the times that they were done.. and I am the one who measures if I am doing my pushups the same and the extent to which I am exerting myself or getting tired within each of the sets, but I will tell you that I can do way more pushups now than I could at the beginning of this challenge, so my body is stronger, even though I also have pains and tiredness.. I am experiencing improvements with the passage of time.