I've hugged my therapist exactly twice. I've been seeing him for 10 years. Neither time out of need, but once out of celebration and once because I was glad to see him after a prolonged and arduous absence. Both at the beginning of a session.

I'm not sure that some therapists chose not to hug based on the client. Some are simply more clinical in their approach to therapy.

In fact, I'm not sure it's my therapist's job to give me a hug if I need one, but to help me to acquire the feeling of being hugged (and not necessarily by him), both in and out of the office.

However, if a hug is refused, and the client has a reaction to that refusal, IMO then the therapist and the client have some work to do to normalize that situation and minimize the re-trauma.