I accepted - and failed - the 'assignment' you set for me, Errikos. Just now watched Good Will Hunting for the first time. Jesus H .... how in God's name did I miss that film?!? About half way through, when Damon's and Williams' characters were just beginning to connect for real, I was thinking - "this screenplay and Williams' acting are totally top notch, I'd give both an Oscar"; then paused the film while I looked up its awards and was gratified to find myself in tune with the Academy Awards nominations and voting back then (unlike today). The cue you mentioned: Elfman nailed it superbly; no way around that. And I'm happy to hand it to him. But now having heard his answers to that and several other cues in this film, I wouldn't even want to try to compete with those (and yes I know that's me copping out in a very amateur way; but hey, I'm not a pro composer and have zero aspirations in that direction).
Even so, much more generally, I can't say Elfman's works are anywhere near being my cup of tea. Maybe they're just too U.S. for this Brit; maybe the majority of the films he's scored put me off him because they're just not up my alley. I don't know. Of course that's just me; I truly hope you don't feel the slightest need to defend your feelings and tastes vis-à-vis his work - different folks, different strokes, as always. I'm ok being the odd one out by not feeling drawn at all to many of the hugely popular movies you've mentioned. Pro composers, like lawyers, must of course commit their fealty to their clients and, to a large extent, to the 'industry' in which they work - another reason I'm happy not to be in that game. (I'm glad to be done with prostituting my soul since the Cold War ended).
In the realm of commercial art, yes indeed there can be no doubt Elfman has been prolific and very successful. I'm probably stupid (and I dare say a bit snobbish also) in too often having focused only on the criteria (including originality) by which the great composers have been judged, in the very different realm of the fine arts. No doubt that has something to do with me growing up in a household where music everyday came almost always from the BBC Third Programme (their classical music channel).
Just another word on this particular film: I probably related to it more deeply than many because I was born and raised in Cambridge - the original one. And although the film focused on Damon's character's very working class cultural environment and its influences on him, I was intrigued to see so many recognisable aspects of the manifiold disparities between "town and gown". A great film, and thank you so much, Errikos - you've made a most welcome addition to my list of all-time fav films.