There was no shot at Palin. The setup was intended to make you expect a shot at Palin but then the target of the joke turned out to be Obama and the dog. He was poking fun at himself, not Palin. Now some things aren't funny and so it was a poor choice but there are plenty of things Obama does to get me irate, implying a joke about Palin was coming but then making it about himself isn't one of them.
On the other hand, maybe the point (as some contend) really was a slam that Sarah Palin isn't delicious, whatever that means. I don't think so. But whatever, I'm probably wrong (I am about most things, just ask my wife)
According to Larry Sinclair, Obama would find “hockey dads”
quite tasty........
It’s both—a slam at Palin and a jab at himself meant to defang the dog issue, no pun intended.