Idk. My t has said he'd "like" to do a lot of things with or for me - i dont mean this as a joke, honest! - and it took a while for me to get it. Like yeah youre smart id love to have you do research for me. That doesnt mean ME actually working for HIM - i think that means, yeah t thinks i could do that job. I realize this wasnt exactly your situation. But my t also said he really wanted to get me a birthday present - 3 birthdays ago! (But who's counting?!)
And yeah they do it when they have time - between love affairs, or their partner is busy at work, or no other client is freaking out right now. They cant exactly do it when they dont have time. Thats why we have to take them up on it when they offer. A few xmas's ago, my t offered to be available by phone. I was like, nah i can white-knuckle it thru. Hes like, dont do that - call me. So i opened myself up to the experience and called him several times. That was MY xmas - he hasnt offered again.
It sounds like youre actually okay with this. Im more concerned about the bad thing you hinted at that happened.