Doubt it. Most Lemmy instances are run by one guy on a spare PC. They’re not set up to deal with legal requests, versus the police just barging in and taking the PC, while all the neighbours look on and assume you’re a paedo.
While there doesn’t seem to be an IP address field in the Lemmy schema, they could always get it out of the logs. There is an email address field, but I think that’s only used for initial signup, verification and resetting your password, so if you used a temporary one they’d have nothing to give.
I don’t know what the film industry would even do with the info if Reddit gave it to them. Likely just more bluster to deter casual pirates into thinking there are consequences to downloading the odd movie.