This is my concern as well. Twitter already has significant issues with this. But based on Dorsey's Rogan appearances I get the impression that he was never entirely comfortable with playing the arbiter of truth/acceptable content outside of high profile cases. He deferred to his trust and safety team most of the time, though you can still find a lot of enclaves that a platform like facebook might have preemptively purged.
His successor could very well be much more aggressive in this respect.
It is likely that the censorship and massaging of visibility is done by a team composed largely of ideological activists. Dorsey as a founder and leader would have the sense of ownership that would allow him to push back on that. I would expect that team to steamroll over the new CEO because his ownership is weaker.
His successor could very well be much more aggressive in this respect.