Hitler himself didn't start with the gas chambers. To go as far to forbid the CDC from using certain terms, it very much is going down the same path.
Much of what the current administration is doing is frighteningly Orwellian. From the perspective of undermining democracy with an Oligarchy it has the potential to be as horrifying as the Nazis were, although in hugely different ways. It's hard to know how to quantify different horrors on such large scales, but ending western democracy would seem to hold its own against the worst that history has to offer.
Note: I'm not making any sort of black and white claims here. We were heading towards Oligarchy long before the current administration, but I think this administration is accelerating us down that horrific path.