Hmmm...well, the ones on the top of my list from my reply you quoted aren't technically "exclusive" anymore as they got remastered [which are distinct from straight-up ports of the PS2 originals (IIRC, the PS2 God of Wars might be in the PSN somewhere, idk)...], which depending on your view they either got enhanced or worsened...my takes are that for Devil May Cry's remaster in the DMC HD Collection...I'm not too satisfied with the remaster quality for various reasons...not to mention they altered the jump button and gave no option to switch it back to the original :/
For the most part, I had a BLAST with Ico remaster in the Ico & SoTC collection, and I never played any of the PS2 original versions of Ico...so I don't have a frame of reference for that one.
Can't speak for the remastered God of Wars because haven't played neither's remaster yet
The ones near the bottom of my list from my reply you quoted, to my knowledge, are still PS2 exclusive
I think it does matter, as the PS2 originals still have something special to them that aren't there in the remasters imo (at least in the case of Devil May Cry...not sure about the other remasters mentioned in your reply yet compared to their originals)...besides, the OP specified PS2 games anyway