Does the matrix spec offer moderation tools? I don't see anything off the top of my head.
It's also a bit of a chore to even identify how to get a server. Matrix.org points you towards other implementers, Riot.im pushes you back to matrix.org for a login, and to "Modular" for a server.
This is kind of the opposite of low friction and ease of use.
It seems pretty slick from a technological point of view, but a bit of a mess from an implementation point of view.