I don't know if this is a common behavior, but Ino has taken to lifting his hind leg and propping it up on the neighbors 12 y/o German Shepherd's head (only her- not the Beagle or Lab mix) when she lowers it to play with a ball or sniff something
. It happens quite often, but it does not appear to be sexual (no thrusting and as my friend puts it- his lip stick is away). There is no thrusting or anything like that- it is more like a urination leg lift. First he walks by her a few times real close to her head- but in a low (submissive appearing) stance like he does when he is about to submit to her. Once she does not react with a growl after a few times of rubbing his whole body against her head and sniffing or licking her mouth, he slowly props his hind leg up and relaxes it on her head. I am not sure if it is a dominance thing- he has always acted in a way overly submissive with her. She surprisingly does not seem to mind the leg propped on her head
and she has always been the dominant one with Ino and the Lab mix. An example of the overly submitting thing is he lets her pin him over and over but then he starts provoking her to keep doing it. He also rolls on his back sometimes after she pins him. Not sure if he qualifies as an example in the post on being aggressively obsequious. Just wondering what you guys think the reason is for it??? He seems to treat her almost like a mother and definately has a different relationship with her then he does with the Lab mix (really submissive and more calm/gentle). She has been around him several hours every day since he was 8 weeks old.
. Actually, come to think of it- when he does greet other dogs, he stays calm and lets them sniff him completely and remains totally still (appearing submissive) until they are done. He has always lifted his leg for them so they can smell his male area when they get to it. He has done that since he was very young and maybe that is part of it. The Shepherd also has the tendency to smell his area when they are playing and he rolls on his back so it could be that he thinks she finds that area interesting and he uses it as an advantage to distract her. Maybe it is a way to get her to drop the ball by making himself seem unthreatening?? It is kind of comical when he does it because he is real slick about it and always gets what he wants when he does it (the ball or whatever she was playing with), but I am not sure how well received it would be with other dogs. Luckily- other than letting another dog sniff him there when they first meet (he just lifts his leg a little but does not prop it up on their head)- it seems to be a behavior specific to her, and she seems to not mind at all 
It seems to be that funny mixture of submission and confidence... 