Tommy is a master swordsman. He rolls a one and misses the enemy. "Oh, well, you can't hit them all," he thinks.
Then he rolls another one and misses again. This time he gets mad.
So we make a rule that he no longer has to roll to hit because it's beneath him.
But now you're talking about attack rolls not ability checks. Sure, on pure principles they are the same I guess but my understanding of OP's request is to remove the critical 1/20 in ability checks, not attack rolls.
The last time this came up, I suggested that there should always be a "fail state". Nobody's perfect, after all. I was met with "but a level 15 rogue", in a game that is currently capped at level 4. Regardless, there should always be a chance to fail, because nobody's perfect. I've walked to my kitchen a thousand times, if I've done it once, to get coffee, or food. Yet, I can still trip over my own feet getting there randomly. It should be beneath me, since I've lived in this apartment for almost 17 years now, and yet, it can still happen. I have fallen up, and down, stairs, despite having walked stairs for 59 years. It can happen, and that should be represented.