Yes, more of LJ's invented fantasies. There were once classifications related to distress over one's sexual orientation, but not any more. Gender identity disorder was likewise considered for removal DSM-5, but it was decided to retain it as it is not analogous to distress over sexual orientation, as argued by Zucker, the lead of the DSM-5 working party on gender identity disorder, who repeatedly criticises spurious analogies between gender identity and sexual orientation, as LJ is making.
Also, sexual orientation is not an 'identity' in the sense gender identity is defined.
