Quite. A societal and therefore political goal.
Everything is political, so I don’t see your point here.
There are 2 kinds of ordinary. There's "ordinary" as being a human being, deserving of love, respect and a chance at happiness. For me, all people born of an human being are thus ordinary, and are my fellow humans: gay, bi, transsexual*, heterosexual, black, white or green, hermaphrodite*, with Down syndrome, etc.
*transgender. *intersex
And there's a different king of ordinary: ordinary as being in the majority.
That’s actually not one of the definitions of the word ordinary. I chose that word very intentionally, as it means “with no special or distinctive features; normal” or “not interesting or exceptional; commonplace.” Transgender folks are by no means a majority, but we are a natural and perfectly normal part of life. Getting the cisgender majority to accept that, though, is a process that’s going to take time. It’s working though. I’ve seen huge strides made in my lifetime.
Transssexual* individuals are a tiny minority of the global population, and so there's nothing ordinary about them, in that meaning of the word.
*Transgender
Not as tiny as you might think. Recent estimates put us at 0.5-0.6% of the population in America, and those estimates are almost certainly too low, as a significant portion of us are not openly trans, and a significant portion may not have realized it. As with non-hetero folks, the more it becomes accepted in mainstream culture, the more people start coming out and the more people who had never questioned their sexuality start realizing they might not be strictly hetero. Certainly we’re not a majority, but we are more commonplace than you think we are, and we are a normal part of life.
I'm aware that since the dawn of times there have been human beings who didn't fit within the mundane biological/sexual framework. And the society of their times had a place and roles for them - by the way, we all have a place and roles in our society and I don't see anything demeaning about that. For example, I'm a straight husband, with a wife and a kid, and that's a part (only a part) of my role within my society.
So I don't deny transsexual* individuals a place in society. I want them to feel welcome, at my table and in other parts of the world. And I will play with transsexual* individuals as I play with any other fellow human beings. I'm quite sure (without being able to prove it) that there's an overwhelming majority of gamers, in the western part of the world, who would accept transsexuals* at their table, like I do.
*transgender *transgender *trans people
But I won't pretend to their faces that they're ordinary - ordinary as in mundane, ordinary as being in the majority. Frankly, I would feel like it's vaguely insulting to them.
As a transgender person: it is not insulting to be treated as ordinary as in mundane; we are. It would not insulting to be treated as the majority, though it would be very strange since we’re not, by a longshot. What is insulting is when people try to pretend they’re accepting and welcoming, but still try to treat us as aberrant.
Being transsexual seems to me to be hard living, and I bet it's not solely because of the intolerance and the ills of the society around trans persons. Being or feeling different is always (often) hard by itself.
Feeling different is not hard. It’s the easiest thing in the world; I’ve always been different and proud of it. What’s hard is being treated as if being different makes me wrong.
Let me clarify: if I had a trans* at my table, I wouldn't treat him/her differently from the way I treat any other gamer. Specifically, I wouldn't present him/her with an option like Corellon's Blessing which has been carved to pander to his/her specificities by some well-meaning/deluded "progressives" in the rpg industry.
*trans person
Hang on, how is that the way you treat any other gamer? Do you not present people who like the fantasy genre with an option which has been crafted to appeal to them? Do you not let Harry Potter fans play wizards? Do you not let men play male characters and women play female characters? Do you ban the human PC race?
Yes, I too care. Soon I will introduce my 10 years old kid to 5th edition D&D, and there's zero chance in Hell that I will present transssexual-glorifying material to him in a nonchalant way. Nope.
Like I said, I don’t much care how you as an individual introduce your children to the game. Fortunately, you’re not the only person introducing young people to the hobby, and plenty are finding their way to it on their own.
To me, transsexuality* is not "a way of life" or a choice.
*gender
Indeed, it’s not. It’s a part of one’s identity.
I don't subscribe to the post-modern "gender identity" baloney theory, and I don't believe in a future where - whether we are bi, hetero, trans, gay, green, white or black - we all choose our identity "a la carte" while chanting kumbaya together like in a happy-hippy weirdo leftie family (though I dig hippies

.
You believe whatever you want to believe. I’m going to continue helping the society I live in to move towards accepting and embracing people regardless of their identities.
Not at my table. And not in my rpg of choice, if I have any choice in the matter (and as a customer and gamer, I have).
Assuming D&D is your rpg of choice, I’d say it’s a little late for that. It’s alread in. You certainly have the option as a consumer and a gamer not to support D&D, and to find some other game that doesn’t treat trans folks as normal if that’s the rock you want to live under. But the industry as a whole is progressing, like it or not. Exalted 3rd Edition has a trans character on the cover. World and Chronicles of Darkness regularly include trans and nonbinary example characters and have been doing so for well over a decade. More and more indie RPGs are making steps like putting separate lines on their character sheet for sex and for gender, or including a line for preferred pronouns. Progress takes time, but little by little the places you’ll be able to go to keep pretending being trans isn’t perfectly normal will get smaller and smaller.