I don't think it is a big deal and would not hire a therapist who let me know they did. If I had made the choice to put something on social media, I would be making that info public. Public is public. And the idea a therapist wants to put forth they don't look as being something they do for the benefit of a client, to me, is either disingenuous or pointlessly and misguidedly aggrandizing.

I would hire one who said they just did not care or were not interested but I would not hire one who tried to put forth it was some professional thing they did for my benefit.