In keeping with the spirit of the original question.....the compass (with topo). As long as I'd continue to function....so would they. Fortunately this is a rhetorical exercise. I use both....will continue to use both....and can not imagine "any" circumstance that would prevent me from doing so.

But, I'd never "rely" on only the GPS. (At least until we have reached the technological point that signals are "never an issue".....and batteries "never go dead".

Maybe an even more interesting question would be, "How many of you actually could be blind folded.....dropped in an "unknown wilderness area"......and with either of the above tools mentioned would trust your life to "your ability" to find your way home?