In my opinion, "You're quite convincing" means "I believe you and you make points that leave no doubt."
"You're quite persuasive!" means "You make me think and reevaluate my position. After listening to you, I am leaning in your direction. I am changing my mind compared to before I heard you."
It might be worth thinking about using something like 'Your argument is persuasive' (or presentation, etc). It depends on the person you're talking to, but it could sound as if you mean 'You are persuasive but...'
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