Charisma or other stats have very little influence on dice rolls, if any at all.
This is demonstrably false. A DC 10 roll will become a DC 7 roll with 16 attribute and a DC 5 roll with attribute 16 + proficiency 2. And the chances of rolling 5 or above (80%) is vastly different to rolling 10 or above (55%).
Could be. I was looking in log only, and wasn't shown there. Almost decided to skip taking any dialogue related proficiencies because my companions had same success rate as my main, which feels more like 50% than anything else.
Still, 55% vs. 80% reminds me about the Korean MMO Black Desert Online gear upgrading: it's about luck and not proficiency. Higher chance is better though, but still can fail and if that happens, knowing I had high chance to avoid failing doesn't help.
Dice rolls are exciting, mostly when used in fights, but only if the numbers and consequences are balanced, if they make sense. This will be very hard to get it right; where to add dice rolls and where not. Adjusting the unexpected in a way that feels acceptable to each of us.