I personally like transparent enforcement of false information moderation. What I mean by that is something similar to beehaw where you have public mod logs. A quick check is enough to get a vibe of what is being filtered, and in Beehaw's case they're doing an amazing job.

Mod logs also allow for a clear record of what happened, useful in case a person does not agree with the action a moderator took.

In that case it doesn't really matter if the moderators work directly for big tech, misuse would be very clearly visible and discontent people could raise awareness or just leave the platform.