There are wounded healers out there. I can only speak of my experiences. I had one when I saw a counsellor. They don't need as many qualifications to be able to rent an office and put a counsellor sign up. I think that sort of attracts the wounded type.
But I see a psychoanalyst now which requires a deeper qualification and time to qualify. I think wounded healers would be put of by that. They just want the quick fix and in type of approach. Basically because as you say, they are wanting to fix their wounds so have little understanding of what is actually required to be if help to someone.