It's a 5e problem. The problem isn't the d20 on its own, it's the combination of the d20 with some pretty piddly modifiers. If you swap proficiency out with proficiency dice, where each skill is 1d20+att+prof(d6), suddenly the issue with proficient skills largely goes away, and it creates a new variable that lets you represent variation in skills beyond proficient or not. Expanding the range 3e style also cuts out the problem in 5e.
I don't particularly like the 1d20 for skills, but it's bounded accuracy as implemented that broke the system. It was clearly built for the combat system first, where it works just fine - and where multiple dice rolls are expected, thus mitigating swinginess of the d20 and making the modifiers count for. It was then lazily exported to the skill system, at which point it started causing problems.
You can and you should. This board could use more pushback to the idea that rules heavy games aren't just preferred by people, but inherently and objectively better than lighter games. It could also use some pushback to the idea that the complexity of rules you favor in an RPG is actually a meaningful indicator of mathematical skill, let alone general intelligence.