I disagree. Statistically, more women than men are victims of domestic violence, coercive control and stalking, so refusing progression to somebody because she fears being tracked down by an ex is indirectly discriminating against the protected characteristic of sex.
A person who is in possession of a Gender Recognition Certificate may not want their photo online in order to avoid potential harassment or violence/being outed, so refusing progression would be indirectly discriminating against the protected characteristic of having a GRC.
A person who wishes to protect their children due to abuse being refused progression would be indirectly discriminated against for pregnancy or maternity.
A woman who is choosing to (or not) wear a Hijab could be discriminated against if she does not want anybody to see whether she is/isn't wearing one or whether she's Muslim to start with (also applies for men who wear Yarmulke or women who wear Tichel).
Somebody who is disabled might not be happy to have their photo plastered over everything - if they are visibly disabled, it could lead to people discriminating against them.
Somebody of a particular ethnicity may not want it to be known outside essential, person to person, contacts. Refusing them progression is also discriminatory.
Assuming that somebody can't possibly come under any of those categories or dismissing their rights is discriminatory.
And, seeing as it's a right through GDPR, deliberately penalising somebody for exercising their legal rights is also discrimination - plus if any of the above apply or they supported somebody else, it could also come under victimisation.