I'd add .mls matrix chat to stay on top of what they are up to. Do not chat with them at all in the matrix room.

Only use it to watch what they are talking about.

Don't quote me on this, bc like said, federation all that and the mod log shit is messy and ain't no damb body gunna actually be straight with you and go "Yea I purge it so my biased fucked up banning streak won't show. Gotta look honest not be honest remember?"

If you're looking for the truth you'll need to do the leg work on your own. You need to form your own opinion based on what you're seeing after looking it up.

Anyway, go to their instance and type 'federate mod log' into their search. You should find some dialog about it

Google up 'admin lemmy federate mod log' too, should help