Not my experience at all. Been through double digit amount of bogus claims on Hetzner.
They usually forward the takedowns to me, I take a look at them, let Hetzner know they're bogus claims and that I'm not planning on taking action, and that's where the story ends.
Sounds like you had better luck than I did. After about a year of getting DMCA notices, Hetzner told me to remove my IPFS gateway from their network or they would kick me off.
I followed the DMCA process, added nginx block rules to make all the content mentioned in the DMCA notices impossible to access, and even submitted "statements" to Hetzner for each DMCA notice they got. None of that saved me.
They usually forward the takedowns to me, I take a look at them, let Hetzner know they're bogus claims and that I'm not planning on taking action, and that's where the story ends.