You need a smartphone or laptop, you need internet. Poor people may not have that. So it's not as convenient to use as you want to present it.
remember, we derailed to sci-fi here and not so distant future. so technologies will be penetrate into all layer of societies. mobile phones and internet in 20-30 years most likely won't be an issue
A crypto that has low/no fee and fast processing will not have miners, because nobody will work for free, nobody would pay for electricity for you and so on.
what if processing of transactions will be equally distributed between all connected phones/laptops of those who use the coin. 8 billion people minus children under 8 year who do not need access to money and elderly. let's take away 3 billion. 5 billion connected devices.
that will be either insecure (no miners) either centralized.
centralized system inevitably will lead to inequality and corruption. so, it has to be decentralized. history showed that even the brightest and most noble minds tend to corruption as time goes by.
If you want self-defence at these requirements, only the centralized option remains.
so what self-defence system need in order to be immunable to corruption and abuse of power, but stayed decentralized?
Until now you have proven that you don't understand crypto.
my bad

There's no way to preserve value for this... proposal on the free market.
limited supply, convenient and easy to use, trustful and transparent. if not. what it needs to preserve value?
Then you want to do something with money. something that cannot be done with money. It's human nature. How on earth can "discouraging laziness" for everybody if they get for free what they need?!
let's fantasise) why lazy the lazy one. because they can be lazy and stay alive. if you do not have income to buy food you have to move your ass in order to put food in your mouse otherwise you starve to death. of course, it a bit extreme, but i hope you get the point. (we talking about just pure lazy one, who can and able to generate some income)
What planet are you from?!
it was Earth when i last check)
On a proper blockchain reversible transactions are the worst possible idea. But here reversible transactions will be just fine, since the system is centralized and only yours. And it will not be a blockchain either.
so, it has to be irreversible
You never answered how people will get this "coin" without it being for free, but still not having to buy it or work for it.
it can be slowly spreading out among population. the way to do it? if it will be on the sale basis, who get the money? - it means another gready project to get rich quickly. if you have to work for it, it means only limited number of people get it. if it go just for free people won't value it. so it has to be some honest way so it will be equally distributed and won't be a source of enrichment of a few but a benefit for all.