Perhaps, but I'm still of the opinion the original is really what put him in the public eye. That was when everybody started doing his voice and all that. It had the "I'll be back." line, one of the most recognizable movie quotes ever. Maybe the most recognizable, I can't think of a better one, save perhaps "Luke, I am your father." which if I remember correctly weren't even his exact words in the movie.
The problem with picking between the two is the second played off the first, blurring the distinction. T2 is Eddie Furlong's signature role, anyway, as well as Patrick.