If it were me, I'd see it as a red flag. It seems very strange to me too! Maybe ask your new T how well he actually knows this guy?

My T once gave me a name of a general practitioner because I was having trouble finding a medical doctor. She worked for a well respected hospital and edited a well known medical journal, but her bedside manner was horrid. Just a mean nasty person.

Always trust your own judgement too- T's don't always get it right.