Well, you know what they say about what opinions are like, right?
Even though I prefer the first film, I respect the crap out of T2. That movie was all kinds of ambitious, and ended up heavily influencing action flicks that followed. It's to Cameron's credit that he can totally change tone, and even genre, from one film to the next and have both be as iconic as they have ended up being.
The complaints about corniness and whatnot were inevitable, but they ignore the fact that one of themes involved Sarah recognizing that young John had finally found a father figure who wouldn't let him down. That element makes it necessary to take the edge off of the Arnie terminator, IMO. Young John needed relatable and friendly moments with the machine in order to make that father figure theme have credibility and emotional impact.
Aside from that, the action set pieces and iconic imagery of Arnold riding the Fat Boy, or one-handed pumping/reloading weapons, are indelibly imprinted in movie history. Freeway chases, hospital escape, Cyberdyne building, T-1000 morphing scenes . . . all done in innovative and/or elevated ways. Too much great stuff from beginning to end, at least in terms of the action genre.