Invention-Problem: Coffee Cup Covers

I hate the plastic caps put on paper cups at coffee places. Every time I drink out of them I either:

1) can’t get enough air through them and thus I end up burning my tongue by me over pouring the coffee finally gravity beats air pressure

2) cap leaks/falls off.

Problem 1) - this should be easily solvable by simply making a slightly bigger air hole - GD it how hard can this seriously be people?

Problem 2) - I want to make a cap with a screw on mechanism. There could be a couple of gaps in the paper roll at the top of the cup where nubs from the cap could slide through. Then to seal the cup I could twist the cap moving the the nubs under the paper roll and thus locking in the cap. A basic drawing would really help and may try to add this or some photos later if there is confusion on what I am picturing.

This seems like a far superior design that isn't that complicated. The only reason I can fathom for why they haven't implemented this design already is there may be fear of the drinker not knowing how to put the cap on by not twisting and thus pouring the coffee all over themselves?

Is there something else I am missing here?