Of course they are using the pack to do their dirty work. It's happened before and it will happen again. Mogget doesn't care.

"I'm doing as I'm told," the cat replies. "Shall I leave you to do the same?"

He only picked up on Party's behaviour in the first place because of that outburst of not signing up for this. Lack of commitment or even open hostility like that is not going to help them win this fight.