They used Privacy Shark and its owner Dalin Owen recommended Morning Star Holdings (a Nevis corporation mill) to them. It's doubtful that anyone will disclose any information about the actual owner of Mybitcoin without an order from a Nevis court because these services are set up precisely to offer safe haven from legal actions.
Why would a business ask a web host for advice on where to incorporate?
That whole statement is ridiculous.
Because Privacy Shark is just one of the very many services set up in Nevis to allow the true owners of corporate entities to hide their identities. It's kind of like if you have a shady accountant and want to find a shady lawyer you might ask your accountant for a recommendation. Privacy Shark registers domains for people who want their ownership of those domains hidden and Morning Star registers LLCs for people who want their ownership of those corporations hidden. They're both part of the same industry and there's probably a lot of cross-referral.
What's not clear is whether the original intention was simply to hide business activity and assets from authorities or to defraud service users. Dalin Owen obviously knows more than he's revealed so far but there's no reason to assume that he's going to disclose anything further without either a subpoena or an arrest warrant being produced.