I would disagree. I find my experience as a patient extremely valuable, both personally and professionally. I think there is value in playing the patient role that can provide useful insights as a clinician. I wouldn't go so far as to say that everyone should be in therapy, but for those that are thinking about it, I do think that it's a valuable experience if it's something that you can fit into your schedule are willing to pay for. I do agree that working with a faculty member that could possibly supervise you and/or be involved in your academic dealings isn't a wise idea - at my program, however, this is not a concern as all of the therapists that provide reduced-fee therapy for residents are generally not involved in resident supervision or otherwise involved in the department at a significant level.
That being said, at my program we are very much encouraged to get involved with therapy and have a specific liaison at the psychoanalytic institute to help us get plugged in with training analysts willing to work with residents for a reduced fee. The ability and value of psychotherapy is institutionalized, so it is easy to get involved with.
YMMV. This seems to be a pretty polarizing topic, but speaking for myself I'm glad to be doing it and am more than willing to pay the costs - both financially and with my time. I will also say, however, that I'm interested in making psychotherapy a core part of my practice, so I think I have a somewhat different perspective than the average resident.