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Yaarel , Just thinking
Combat AC's range from about 11-25. There may be an outlier or 2 outside that range. Most combat AC's range from 13-20. In other words, there's not really a full 20 AC range in what you fight in combat. It's closer to a +15 AC range. Most AC's in combat come out closer to a range about half that. Skill checks tend to go from DC 5 to DC 30. I think part of the issue is that skill checks DC's have to large a range.
In combat everyone gets proficiency bonus to their attack check. It's a given. So stat differences of maybe +2 to +5 or +7 (with archery style) are the only differences players will ever realistically see in their chance to hit differences. So a range of about +5. Skills have a difference in range of -1 to +11 so a range of about 12. That difference in range needs to decrease.
I would suggest we leave proficiency out of the bonus on skill checks and find some other meaning for it, this way our range on skill bonus differences stay around the +5 that combat has it at. Possibly have proficiency add an extra d20 dice that stacks with advantage (allowing up to 3 dice to be thrown at a time)
I suggest we have expertise give a 3rd dice on skill checks. Or maybe a chance of auto success.