Sir, that’s not the issue.
Nobody is saying trans people don’t have a “right to exist”.
The issue is not existence, it’s trans ideology. People who claim to be the sex they’re not exist, but they’re wrong (or lying) about themselves.
This isn’t a particularly odd or extreme claim. People are often wrong about themselves.
Of course people who claim to be trans have the “right to exist” but it doesn’t follow that they have the right to force us all to agree that they are the sex they are not.
Pretending their “right to exist” is contested is typical of the manipulative bullshit that gender ideology is drowning in.