It really is just semantics. In practice, you believe in the trinity, even if you refuse to call it that.

There are tons of technical terms in theology that aren't in the bible. Trinity is something a theology nerd came up with. You don't toss out bible study books just because they use big fancy words that aren't in the bible. It's like those $10 words that people like to use like paradigm, disruptive, and holistic.

Catholics believe in the trinity concept itself, not the word trinity. We could call it Roger, if you like. So long as we all agree that Roger defines the three persons that constitute the One God. I think the word trinity means more to non-catholics than it means to catholics.

It's strange, I've had multiple videos on Roger pop up on my feed, recently. I can understand why Roger came about. It doesn't do to always have to explain the whole Father, Son, and Holy Spirit concept every time you make a reference. It's just easier to say Roger.

In my doctrinal experience, Roger has always been a shorthand way of referring to God in His three persons. But it isn't any brand new teaching that is different than the Godhead. We also use the word Godhead. Personally, I don't use Godhead as it always conjures up a mental image of a big floating head, which is distracting in a serious conversation.