Yes it is a problem. But 80 years ago people were shorter.
and not so big around!
I am 6'5" and moved the front seat assembly in my Slant Windshield Town Sedan back an extra 4". It is downright roomy up there. I was advised by others, back when looking to buy a closed car, to get a S/W TS because the front seat has the option to go so far back, if needed.
My passengers have a hard time getting in the back doors, though, because my seat back covers half the opening!

I slide it forward for them, when I remember, and then slide it back.
With my Phaeton, on the other hand, where the front seat is fixed, I have to fold myself up like a pretzel to get in, and then unfold. Once I am in, I'm OK. I've been driving that car since I was 14 years old, so I kind of have the moves down.
Test driving a few different body styles for fit is always a good idea.