I think it's because if they did trophies for leagues they would have to give more points if you won because otherwise a lot of people would be annoyed because they last for so long. Even if they did people would just spam daily chess games because you can do so many at once.
Daily Chess for Leagues

But why not give them the same number as, say, bullet? Maybe make a win worth only one point, draw 0 and lose 0?

Why doesn't Daily Chess count as trophies for Leagues? This confused me so anyone who can answer please do so.
League divisions reset weekly. The timeframe of Daily games doesn't fit in with that idea

It could be based off of when you win the game. All I'm trying to say is that I don't think the idea is that ludicrous.

plus, there is a whole bunch of tournaments where you have mate in one on move 1 such as here https://www.chess.com/tournament/try-win-as-white there is a lot of them and you could join lots and get like 10 daily wins a day
Why doesn't Daily Chess count as trophies for Leagues? This confused me so anyone who can answer please do so.