WalksWithBlackflies said:
Disclaimer #1: I have a very accurate internal compass
Disclaimer #2: I always carry a compass
Ditto. Actually, that's not true. Here in western, NY, we have a local woodland park that is about 4000+ acres that is bounded on 4 sides by roads and whose terrain is widely varied due to glacial activity (i.e. steep eskers, drumlings, ect), that I regularly bushwhack without any navigational aides in both winter and summer). It's primarily open hardwood forests and most parts of it I know like the back of my hand. I actually will occasionally TRY to get lost as I use this area to hone my OBSERVATIONAL NAVIGATION (ObNav) skills. I've found it very helpful.
In the Adirondacks, I would NEVER consider venturing without a map/compass and my GPS. While actually whacking, I generally attempt to use ObNav primarily, backed up by mostly GPS (occasionally compass if I must). I find the less I use these aides, the better feel I get and more comfortable I get. Also, type of terrain is huge, open hardwoods is way more reliable for ObNav than thick conifers.
I been able to successfully navigate a small peak (Cellar) which was about a mile total (up and down, 750' feet) both to the summit and back down completly using ObNav (though I had the other aides with me, just did not use them). I made the summit and returned to my car and came out of the woods within 30-40 feet from where I parked. I never wondered where I was, and not once felt the need to consult the other aides.
OTOH, I've also gotten so turned around using ObNav that I "bent" my mental map so much that I almost refused to accept the reality of what my compass and GPS was telling me was true.
So, I guess the answer to your question would have to be: DEPENDS