I'm the opposite. I'll carry a GPS if I'm hiking under tree cover....Womble Trail in Arkansas or any of the Ozark trails is a good example. CCCC trail near Houston too...featureless. Everything looks the same there and a compass, doesn't do much. Mostly I carry a very small Silva compass/whistle combo around my neck, and topos I printed to 8.5x11 format. A good example is hiking the Outer Mountain Loop in Big Bend Ntl. Pk. So many land marks there that I can gauge my trail progress with one quick bearing to a mountain, intersecting the trail. GPS is pointless there and dead weight. I still sometimes carry an altimeter just to keep the skills sharp, if there is lots of elevation change. I'm a geek/nurd when it comes to this kind of thing.
I've always had a love for navigation and find the iPhone compass app and all the map apps a blast to use. Get lost in a big mall or office building and that compass becomes useful. The AroundMe app is fun, even in buildings since it triangulates on cell tower signals and not GPS sats.
So many amazing new ways to navigate but I still like the simplicity and lightweight-ness of map and compass.

The old skills is how we got to the new skills...best learn and practice the old ways, in the event you run out of batteries.