If you carry two compasses and one is wrong, which one is wrong? There seem to be two themes in this thread, one on the importance of good navigation and as we have seen so many survival situations begin with the "victim" becoming lost, I consider the importance of good navigation and staying found to be a given. Another given is how easy it is to become lost if you don't actively stay found.
The other theme is that of pocket/personal survival kits. I'm not big on the small survival kits peeps buy and never use until they realize they are in a survival situation. I much prefer EDC users: knife/knives, flashlight, whistle et al.
When I go off-road I have map & compass(es), GPS (preloaded with maps and waypoints and these days a second GPS on my wrist sans maps but with the same waypoints. Getting lost is bad form and waypoints are cheap. Having a GPS with dead batteries is also bad form. If you carry a GPS, carry spare batteries too and turn the GPS off when you don't need it.
There will be lots of other gear too, but it's user gear -- no unopened survival kits, stuff I've used with back-ups I've used.