I would find it uncomfortable. The only time he's ever done it is to cancel a session and that's the only time I would ever expect it.
T1 has sent unsolicited communication to me twice since I stopped seeing him. This time at 2am, telling me he has separated from his wife and want to catch up. It makes me very uncomfortable indeed.
Boundaries are useful to me because I need to know what to expect from a therapist to feel safe. Predictability is important to me.