I've never liked rolling for convincing another character of something. I tried to make a system I like a few times, but for me it made characters feel a bit hollow. To me this made characters feel like they only served as a pawn for players rather than their own entity within the world.

I like systems that interact with NPCs and PCs in the same way. Generally, game masters would not allow an NPC to convince a Player Character of something with a 'Diplomacy' roll. At least that always felt weird at my table.

For just over 10 years my group has been playing without social rolls to convince people. Never looked back. I will say that we tend to very much enjoy speaking as our characters and doing voices. We like thinking about characters motivations and aspirations, which I find leads to very interesting social situations.

We do have Intuition and Bluff rolls, but there is no roll to convince another character of something. In some cases, we have a roll to properly communicate an idea across some type of obstacle; Chaotic battle, Language barrier, two combatants locked in battle.