I guess it depends what the purpose of the therapy is. I did not when I first entered therapy and, for a good while, I planned it to be long-term. From my experience and all I know about therapy now, if I ever chose to do it again, I would only do short term. Go with a specific problem/goal, focus on that, and leave when I think therapy no longer adds anything to that process. I would use it as consultation and would stop when I am not learning anything useful. If I primarily needed support, I would rather try to find it in my everyday life.

I don't think anything is weird to talk about with a therapist if that's what you want. I am also one of those who would not use therapy to resolve another therapy conflict but many people find it useful and discussing problems with another T might be a very specific goal that may not take ages, so perhaps short term is ideal for that?