This may be obvious, but if the empire at large were aware of the L'rell and co on the sarcophogus ship and were in contact with them, why didn't they just supply a dilithium processor? Even if it meant taking one of their own ships out of action surely the payoff would have been worthwhile to have a cloaked behemoth at their disposal, with or without its leader?
I assumed that Voq and his followers couldn't call for help (i.e. more food, engineers to fix their ship, etc.) because of 1) pride, or 2) the rest of the Empire refused to assist them. It's probably the latter.
As for the Shenzhou: I'm wondering why Starfleet didn't scuttle it. If they had time to get away in escape pods, couldn't they set the self-destruct, like the Admiral did on the Europa?
Oh, and is the "Landry is a fucking idiot" club accepting any more new members? I'd like to join.