Only in the eyes of the perceiver if that’s how they choose to see them.
People can stick labels on themselves if they like. I might treat people as “a group” if it’s helpful in conversation or if it’s the right thing to do in that situation but I don’t typically think of people in groups. But when I see other people who prefer to think of people in groups, I’ll talk that way too, but i don’t really think that way.
That said, sometimes I do. It’s a shortcut. But as far as people using it on themselves? I don’t see a problem with it. For example: “I am of the group of people who have two hands”. I am a Two Handed Person.
Or to get specific: people used to refer to gay people as “Queer” . [it’s an old fashioned word now]. But then a group of gay people decided they’d use Queer as their group identity name.
What did it do? It took the power away from the name callers. Queer lost it’s insult power.
But some words gain power again. “faggot” had lost its power to insult for a long time but over the past 10 years, it came back again as an insult. But then, over the past two years, I’ve noticed it’s *so* commonplace that it’s losing its power as a specific insult word. It’s turning generic, losing its power.