The problem with this argument is that first off, the GM can’t know your character sheet front-to-back because they’re not playing your character, so they probably don’t know if even a 1 will pass the DC they’ve set.
1/20 is much less regular than 5/20 or even 19/20
It’s still far more common than is reasonable.
I just think whether or not each and every player here has an outrageously high stat and what those stats are is a bit of an unnecessary hassle to add to the already long list of things the GM needs to keep track of.