Yes, it can be informative to see how they answer questions about themselves even if the answer is obvious. I like Ts who have websites with a small resume about their training and experience, so I usually know that by the time I contact them. If I were to interview a T now, I would still ask them to tell me about their training and work experience a bit, to see how they describe it on the spot and what they emphasize. I would also ask them what specific concepts and theories have impacted them the most and what they consider their professional specialities.

My last T asked me to email him some text about myself, my story, issues or whatever, before our first session. I enjoyed writing that up and seeing how he brought it up and discussed it in the session. It established an immediate good connection between us because he obviously related to a lot of how I presented myself in that letter, and I clearly felt it was genuine, not just a selling attempt.