I find honesty refreshing. Actually, it's a turn on (but don't tell anyone). The key is to encourage honesty without exhibiting shark like tendencies. But I would see what happens over the course of the next hour or so.
If he doesn't call back, why not you?
Say something along the lines of this...
Sting, in the past, I would have either chewed you out or gone along with things and suffered in silence. I realize that it's difficult to work with this sort of dynamic. And I don't want to communicate this way with you from here on out.
How about this? Although I'm not happy if you choose to spend time with your cousin over me, I respect your decision. It's just that we see so little of each other, and I really miss you. I look forward to the times when we do spend time with each other.
Maybe you could rearrange your schedule tomorrow (or insert whatever day you want) so I get the chance to be with you?
Then see what he has to say...
I think if he could see this less as a means of exerting control and more of a vulnerability thing (the fact that you WANT him), he might be willing to give you what you want and need?
Just my two cents worth...
"There are only 2 ways to live your life. One is as though nothing is a miracle. The other is as though everything is a miracle."