My therapist is also married to a therapist, and although this isn't quite relevant, it was really cute hearing that they "therapy each other to death" when they have marital problems.
For what it's worth, my therapist felt pretty genuine. One thing that helped is to actually ask about his day, and how he's been. I think he was surprised I cared.
Another thing that helps is that BetterHelp makes it effortless to try out someone new. Maybe we've been lucky, but me and two other people haven't needed this feature; we all stuck with the first one we matched with. But it's there if you need it.