I used to be quite elitist with games and consoles. I was proud of owning them and when a game was re-released say Resident Evil 0 which was on the GC, i always thought it was more important to play the game on the console it was meant to be played on. Bu recently that whole theme has lost significance for me, the re-release of RE0 on tot he wii still allowed you to play with the GC controller and gave you the option of the wii-mote which is just as fun. So i don't mind any more, The only games that i still say should be experienced on their original consoles are Mario 64, OoT and MM, since the C buttons were so right for item usage and instrument playing, as they were for Mario's physical stunts in M64.
Aside from these rare examples though i no longer think it matter which console a game is played on.