I don't think so, Andy. Isn't Robert Smith generally considered to be the ultimate Goth idol? Grunge came a bit later than that. In the early 90s grungers were like slightly cleaner, less septic-looking 'crusties'. But then LOADS of kids wore Nirvana T-Shirts, remember? And most of them were quite hygenic!
What is a 'scatter punk'? You don't mean 'skater', do you? As in Avril Bleeding Lavigne? They aren't Goths, no.
When I hear 'Goth' I tend to think of Robert Smith, Sisters of Mercy etc. 80s stuff. Grungers are early to mid 90s. And skater punks are late 90s, early 00s.