No, I think the controversy is caused by the confusion of the civil and religious aspects of marriage, compounded by use of the same word in both contexts. It may also be compounded by the state’s common deputization of clergy to perform the legal function simultaneously with the religious ceremony. Perhaps you recall your own wedding, signing the certificate that began your legal contract with your wife at the same time you signed the church’s own register. That didn’t make it a single transaction, it was still 2 separate but simultaneous things.
As I said, a church can consider you married, but if the proper paperwork isn’t on file with the state, you don’t have the legal status. Or you could go see the judge, and a few minutes later you’ll be legally married, but no church need be involved. To use an extreme case, a splinter Mormon church can happily marry you to a second and third wife, but no state would recognize that and none would grant your extra wives the same status as the first when your will is read. At another extreme, if you’re a mainstream Catholic then legally divorcing your wife does not end your church marriage, and they won’t marry you again without death or annulment - but the state doesn’t care about that; legally you’re divorced.
Nothing the government does can affect what a church considers the status of a couple to be, and nothing in this ruling does, either. It is only the civil, legal aspects of marriage that are under the purview of the courts and legislatures, just as the churches have full control of the religious aspects of it. The civil, legal aspects of marriage could be renamed “domestic unions” or anything else. But that legal institution does exist, and must exist, and if you get this far you have to say that everyone is entitled to participate in the legal institution that entails all those legal rights and responsibilities that the church has no influence over. But your church can make whatever rules it wants about who it will marry, and that will not and cannot change with this, so you can stop worrying about it. This is entirely a legal and political topic, not a religious one except to the extent that one’s religious views affect one’s political views. Okay?