Just a quick comment on nomenclature and visiting other dojos. Basically I think it is a non-issue. Unless you are making a particular study of the style visiting is just that. Watch the sensei, try to copy, and if you feel that naming is important to help you remember far better to name the technique according to the conventions of your style.
Personally I find it very helpful to refer everthing that I see and hear to the teachings found in my style anyway. I have yet to come across anything that did not have some relation.
This is also the reason I recommend getting a reasonable grounding in one style before setting off. Contradictions are often not so contradictory - but it takes a little knowledge and experience to recognize that.