Yeah, it's the same for the 360 as well-- though due to licensing issues or somelike that, you have to be connected to Live to make the game work if it's not on the system you originally bought it on-- it's happened to me before within the ~11 times (not exaggerating) I've sent my console(s) in for repairs over the past 2 years.
For the Wii and DSi, then-- if either of those get messed up, it seems like everything you bought is gone-- unless someone can counterclaim that too.