I don't think anyone's push-ups can do anything to help Bitcoin rise. It doesn’t matter how many push-ups you do - 100 or 1000 per day, it does not affect the price of Bitcoin. Even if you are Satoshi Nakamoto and you do 1000 push-ups a day, the price will still not increase from this alone. The only thing that can push Bitcoin prices higher is buying. Of course, small purchases will not have a significant impact on the price of Bitcoin either. But your purchases will have an impact on your financial situation. And it usually does not correlate in any way with the price of Bitcoin.
You may be right that this challenge wouldn't have any impact in the price of Bitcoin but however, checking from when we started this challenge, the price of Bitcoin was around $43,000 and today the price is around $67,800 so you can see that there is a lot of improvement since then and moreover, we ain't just doing this exercise because we are excited that the price is skyrocketing but it's also a way to keep our physical body fit and vibrant as those who are really taking path in this challenge can attest to it.
Yes buying do have impact in the price of Bitcoin even if it's not immediately but with time, the impact becomes visible enough so buying and hodling is more way to be excited about the challenge rather than just hoping on the increase of the price of Bitcoin because definitely the price of Bitcoin will surely increase but what matters most is if you've got some amount of Bitcoins in your portfolio.