Not at all. You share with an assortment of randoms that you're downloading a particular file (that they're also downloading) at a particular time. That's all. You don't tell them when you watched it, how many times, whether and when you paused it, or whether you fast forwarded the naughty bits or went back to re-watch them. It's far less intrusive.

And most importantly, those few randoms don't have a flood of other data being scraped from your phone, social media, credit card transactions etc. to cross-correlate your viewing with. They don't see that you paused the movie when the main character put on some Nikes and went online shopping for a pair of Nikes for yourself. They don't see that you have friends over. They don't see what brand of microwave popcorn you watch with your movies. They don't care.