This would be like walking into someone's house and refusing to take your shoes off because you don't at your own.
"I don't take my fucking shoes off in my house, I refuse to do it in yours!"
I bet you're a real nice guest......
This analogy doesn't work in this case. It's not about respect, it's a show of power. Every person in power displays some sort of body language to project this. For instance, most of the time the President will try to be the last one in the door, as this shows he's dominant. Many of the Presidents would also tap one's back to show that person is weaker.