This was not his intentions at all, not in this recent drama nor in any other previous cases.
He doesn't give a crap if the entire internet hosted the bitcoin paper, all he cared about was causing the drama, scam people and most importantly to attack bitcoin core developers. I don't think he is going to stop there either, I wouldn't be surprised to see long and expensive lawsuits against people involved in bitcoin development in the near future.
This will continue until he is behind bars eventually in a couple of years from now.
P.S. don't get me wrong, it is a good reaction from the community to show him the middle finger though.
It's like they say - there's no such thing as negative publicity, all publicity is good publicity. This is certainly true for CWS , and every time he gets publicity some new unfortunate person gets sucked into his cult. I think the fact that bitcoincore.org removed the whitepaper is already a huge win for him, some people would view it as a proof that he might be Satoshi and CWS himself would probably try to use it as such in the future.
Would have been better if all these companies instead pledged funds for any legal fees for smaller sites, like the mentioned bitcoincore.org in case CWS would be able to bring them to court, which I highly doubt he can.