We get somewhere between dozens and hundreds of DMCA's per week, and we comply with all of them. We can't actually take content off of Skynet itself (similar to how you can't actually take content off of IPFS), but we can have our portal (https://siasky.net) refuse to serve content with known-infringing or known-abusive hashes.
GP was joking about the name of the project itself infringing on Disney trademarks, but (as a peer notes) Fox/Disney hasn't registered a trademark on Skynet.
(Disney owns 20th Century Studios, formerly 20th Century Fox, owner of the Terminator franchise.)