The way that conversation dice rolls are implemented right now, I actually tend to forget what I have proficiency in. I almost never have a reason to look at my character sheet. When making skill checks during dialog, they hide away both my skill and the difficulty of the check and show me the target number on a d20. They also hide the second dice roll if you have advantage or disadvantage (I think? It's possible this just hasn't been implemented yet). I would love for all of this to change as follows:
During a dialog, hide the skills that correspond to the dialog options - let me say what I want to say and then tell me about the corresponding check I have to make to sell it.
During the check, show me the skill I'm checking and show me my bonuses to that skill - it's helpful to have a bold reminder of how good I am at a thing. In an actual tabletop game, I'm quite aware of my bonuses because I have to do all of the calculations on my own.
Simultaneously, don't tell me the DC for any given check - just roll the die and tell me what my total is. If I feel like I didn't do a good enough job, I can elect to use inspiration to reroll (I know that's not how it works in RAW, but that's how they're doing it here). Don't tell me if I pass or fail the check - just have whoever I'm talking to react accordingly.
It may just be that I like playing characters with significant weaknesses, but not passing a check shouldn't feel like failure - it's just the path the conversation took. The story progresses either way.
For me, the story in an RPG is never about the dice rolls; dice are just a way to move the story along.