No, that doesn't add up: You only host data that's already available on a public network, pretty much by definition. If the rights distributor didn'f want it to be globally accessible, they wouldn't have put it up on IPFS.
I'm happy to play the naivete card when it comes to downloading. (If the producers didn't want me watching this CAM footage of a new release on YouTube, they wouldn't have uploaded it, wink wink.) I'm a bit more cautious when it comes to uploading.
But this is very different: This is more like the original copyright holder putting something on BitTorrent, inviting people to download it freely, and them suing anybody who seeds it: By putting the data on a P2P protocol, you've kind of implicitly stated that you're okay with people seeding, or whatever the local terminology for the same is.
You have no guarantees that the content put up via IPFS is by the original copyright owner.
Thus immediately after you receive the infringing content over IPFS and start seeding it, you are infringing on the copyright owners rights. You have no recourse and no legal defenses to protect you.
Well, then, as soon as you receive notification, you can immediately stop hosting the data: it's like a DMCA takedown, but you have to send it to way more people.