I think honesty is by far the best way to go too. I think the only way to truly heal would be to work with what is truly there??
My now ex-T was a trauma t but didn't focus our work on parts. From the two sessions I've had with new trauma T I think she places a greater focus on parts because she keeps asking me about them their functions and how they serve the whole etc. I don't know if this way will serve me better or not yet. Time will tell I guess.
I think different Ts even with the same training will have a different approach different strengths different foci but I think its essential for healing to work with what you have rather than pretend large parts of you don't exist.