Reminds me a bit of the Vermont joke, “If your cat had kittens in your (obviously cold) oven, would you call them cupcakes?”
I have absolutely no problem calling a person whatever ‘denomination’ he gives me–Anglican, Lutheran, Baptist, Holy Roller, Church of the Brethren, you name it. But if I do not know that denomination, or if I am speaking of one, several, or all of the thousands of denominations, I have to use the term “protestant” because, by nature, that is how those ‘denominations’ came to be.
Every one of their historical roots goes back to one (or several) events which involved a founder/s ‘removal’ of himself and others from the Catholic Church. Whether it is the Anglican whose forebears removed themselves under Henry VIII, Edward VI, Elizabeth I, etc., or the Methodist whose forebears (themselves with forebears who ‘removed’ from the Catholic Church to Anglican) ‘removed’ from Anglican to Methodist, etc., etc., those ‘moves’ were a protest against some or all of a given Church’s teaching. There is no getting around it.
Therefore, the denominations are protestant. If you like, you can say, “Protestant against doctrine X” of the Catholic Church (though some denominations might then take several days in listing the doctrines they ‘protest against’).
If you’re worried that you (personally) are much closer to ‘the true faith’ (and that does seem to be the OP’s contention, that because his faith is ‘so close’ that they really didn’t protest much–if at all–and should not be called something which to his mind ‘fits’ another group which pretty much rejects a lot of stuff he does not)–there is a solution which would keep you from being (not ‘being called’ but being. . .there is a difference) protestant.
Come home to Rome!