Sounds good -- you are working on yourself in these interactions for yourself :-)
OL BTW - the email was an apology for him acting badly yesterday. Go figure.
This makes perfect sense to me. You didn't fix things for him yesterday, so he had to look at himself. This morning you didn't respond to his indirect communication about being a butthead yesterday and tell him it was really OK, you understood. That is, you didn't fix things for him this morning either.
He had to do something with his discomfort, and actually taking a look at himself and then truly apologizing was probably much better for both HIM and YOU than what would have happened if you had gone into the fixing/comforting mode.
In a nutshell, you gave him space to get get honest with himself and do something productive with what he found.