Mod-80. I understood you quite well. I dont think you are trying to understand me. Either way, we just have to agree to disagree over the use of certain labels.
Derech. The torah has a term for what you call those labels. Bnei Yisroel.
Whether you are an aleksander chassid or a gerrer chossid, to use your example, at the end of the day, you are both torah observant jew with a slightly different derech (maybe bigger than slightly, I am not familiar with the derech of either chassidus), and (i am guessing) there are no negative connotations to saying you are “an aleksaner chassid” or a “gerrer chassid”.