It's worth saying that not all gay people are 'LGBTxxxxxxx' campaigners, not all trans people believe in gender fluidity concepts or enshrining non-binary in law.. These are political beliefs and not necessarily by default.
Of course there's no problem with people living their lives the way they want to, so long as it isn't damaging to others and the world around them. Everyone is different.
The only problem is when other people want to enshrine their abstract beliefs in law and impose on everyone, be it for religious reasons, personal gratification... It goes both ways. Some people want contraception to be illegal because they believe in a certain concept, should that be enshrined in law? Others want non-binary to become a legal status because they believe another concept much the same way.
But why does an M or F on piece of paperwork 'deny people to be themselves'? Perhaps we should look at the world in a less black and white way, of course, not everything has to be seen through a male or female perspective.
But claiming that you are oppressed because other people call you he or she— in a world that is fundamentally binary male or female after all—just seems like being in denial of reality. We should expect people to be respectful for each other's differences, no problem there, but what's now being asked is something quite different.
With many countries' 'hate speech' laws, legal penalties for saying the wrong words is fast becoming a reality. Far from reduce conflict between people, this is ridiculous and opens up a far greater issue of state control over what you can/can't say. It becomes a subjective means of forcing people to subscribe to a certain belief. I'd argue that this would actually massively damage social progress towards accepting transgender people!
After all, non-binary and all the terminology is just another concept built by a group of people, much like how 'gender' is often blamed as being a social construct. The difference is that at least gender has a fundamental basis in neutral fact. Male or female is pretty much the basis for all life.
It was best put to me like this—It's like knowing the basic rules of chess, you cant deny the rules but you can still play it your own way.
A difficult issue though!