Henry has a little stub of a tail that he wags like crazy, and if he gets too excited, his whole butt will start moving to the point where he will actually fall over, LOL!
Oh yes. Miila has a decent size tail that wags awesome along with her HUGE bully bootie wiggle. No tail pocket either. Cutty has a screw shaped tail and it took me about a year before I ever noticed that the little teeny tiny tippy does wiggle, barely. Lol
Max has a straight little short tail, no tail pocket. His tail problem is that it is tucked down so close to his butt that you can barely even physically lift it. He can only wag it maybe 1/4 of an inch to each side, so he usually does the whole-butt waggle when he is happy :D
My baby boy HAD a terrible inverted tail that we had to have removed so now more than ever, he wiggles his whole rear end and answers to "Mr. Wiggles" when I come in the house after work. Doesn't even look like he ever had a tail!