I'd love it if my T just randomly contacted me for non schedule related things. She has once, when we were talking about me doing yoga. She texted and asked if I had tried it. I was really happy to get that text. Last year she also texted and wished me a merry Christmas. But I don't quite remember if that was out of the blue or if we had already been texting about something professional related. Either way, I was glad to hear that from her.