Presumably the feds wouldn't say who they were and would pose as common criminals, because they wouldn't have any reason to suppose that the datacenter operator would keep quiet if they were open about their identity.
But yours assumes that Russia doesn't do counter-intel and wouldn't be looking for exactly these kinds of infiltrations. If it is obvious to us that these things would be targets, I'm pretty sure it is obvious to Russian intelligence services.
Shady fly by night data hosting doing counter-intel, or better, Putin spending his precious rubles on running counter-intel ops for shady fly by night hosting companies, are both hilarious.