It's 2025, videos don't matter anymore, definitely not to Trump.
First off we've had deepfakes for years so he could just claim that. Secondly, and this is more important, Trump's base wouldn't care anyway. They'd start off denying the whole thing, and then if it's proven to be real, they'd just say it's not that big of a deal because dems do it more and it's worse, until finally they'll say it's actually a good thing, but only when Trump does it.
Honestly, I think Putin might actually be appeasing to Trump's ego. Seems like a much easier way to control him than holding something over him tbh. Remember, for Putin, total control of Trump forever isn't necessary. Even if he jumps off Putin's dick right now, he's already achieved so much for Putin that it'll have been worth it for him.
It's the age old principle of "If I can't have it, nobody can" that I'm afraid of the most. Anyone reasonable wouldn't go by it, but if Putin is afraid he's gonna die, he might as well.