I can text/call whenever I want. But he only turns his phone on on the days he is in his office, and only at the times when he is there. And he won't usually pick up his phone if you call him at that time, but he will call back whenever it works for him.

I wouldn't want a T that provides the possibility to constantly call and have a chance for them to answer. The first reason being that I kind of feel more comfortable saying what my issue is without having an immediate response. The second reason is that I know I would develop some kind of dependency if this was offered.