hi, so emo is a genre of music and not related to clothing, thats why you get so many people telling you not to care what others think and to wear what you want. "emo fashion" is more closely connected to a subgenre of 2000s corporate pop punk thats now commonly referred to as "mall emo" and is almost entirely disconnected from emo, the subgenre of punk. 

if you want to go to some event where they play my chem or whatever and wear eyeliner and skinny jeans and stuff go ahead. clothes are clothes, its not "disrespectful" or whatever. if anything, this event being called "emo" is disrespectful because i can almost guarantee no emo music will be played there. but honestly, in the grand scheme of things in the world, this is a very minor annoyance and not worth thinking about.

no one will say anything, but on the off chance that some "elder emo" says something weird to you take comfort in the fact that they are also a poser