I did get a Tully vibe off of all the things that screamed loyalty to your family and what you might see as your duty to them. But, overall, I found that it came in as a second strain to the House Stark that I saw. With the exception of your family (and then only maybe) it seems that you are more likely than not to let people do as they will so long as it does not interfere with what you are doing, and if they do interfere then you would take it in stride and do what you must... yeah, the Stark overwhelmed the Tully in my eyes.