Not exactly. It's a state enforcing a particular administrative jurisdiction. These are all Orthodox churches, literally the same denomination. The Ukrainian church declared its autocephaly so that it is not administratively dependent on the Moscow Patriarchate and that was recognized by the Ecumenical Patriarchate and others (eg the Church of Greece, the Patriarchate of Alexandria). What this move does is Ukraine mandating that churches within its boundaries adhere to the autocephaly. It's not banning anything, just returning canonical ownership of the physical infrastructure to the canonical administration. This makes sense in the context of a war of national liberation, when the enemy is literally in a position to do propaganda by controlling those churches. Ultimately, this is more like confiscating Russian assets than restricting religious freedom. From the point of view of a believer, the only observed difference will be which particular patriarch is mentioned during mass, nothing else changes dogmatically.
Edit: and these are all internally orthodox politics. The Vatican commenting on it is as absurd as, say, the Egyptian Coptic church making pronouncements about the Pope's dismissal of cardinal Burke. That's an internal Catholic matter, other churches don't have a say. This is an internal orthodox matter, the Vatican should stay in their lane. But then again, the Vatican not staying in their lane has been the original reason of the 1054 schism to begin with, so this isn't that surprising.