After two years, it seems my Saturn has issues getting up to speed again after checking for the security label on an original game.
It's happened twice so far. I'm fairly gentle, too... at least I think so.
Here are some details you probably should note:
1) there are some games that require a double swap. Wipeout and Scud: Disposable Assassin are two that come to mind.
2) There are some games that search for the copy protection mid game. A certain bomberman (I can't remember the title - NOT 3D) and Mechwarrior 2 are two games that come to mind.
Essentially, it'd be in your best interest to get a mod chip. While you're at it, buy some originals, too. =)