When I started out, I tried a jig - the old Eclipse one (still got it, somewhere). I didn't get on with it. It was too much of a faff setting it up to give just the right angle, and it kept falling off the tail end of the oilstone. So I ditched it, and tried freehand. It took me a while to work out how to hold chisels and plane irons so that I didn't dub the edge, and it took longer to realise that even a fine oilstone won't give the ultimate edge (though it does give one good enough for roughing-out and chopping duties).
So I tried waterstones, freehanding again. Worked a treat, and results improved steadily with practice. Buying a small Tormek helped as well; now, the bulk of the metal removal could be done fairly quickly (though jig setting is still a bit of a faff). Honing was then just a matter of a few strokes on medium and fine wasterstones, with finishing on an extra-fine for edges that really needed to be super-sharp. With about six month's (hobby time) practice, I had no difficulty getting arm-hair-shaving edges freehand.
Following a house move, the mess of the waterstones, and the need for a seperate area in the workshop for sharpening, were no longer a viable option, so I bought a medium ceramic stone, and immediately took to it. I supplemented it with an ultra-fine stone, and between the two, get just as good results as I used to with the waterstones, freehanding again. So that's where I'm at now - medium and ultra-fine ceramic stones, used with a small squirt or two of water with a drop of washing-up liquid in, freehand on the bench. Gross metal removal is still by Tormek if I've got a batch of tools to do, or by hand-crank grinder if I can't be bothered getting the Tormek out and setting it up/cleaning up afterwards (it is a messy little beast).
If you prefer using a jig, and the results work for you, then you've cracked the sharpening problem. It just didn't suit me, for some reason. Freehanding did, though it did take practice to get consistently decent results. I notice several people say that they couldn't get on with freehanding, and use jigs. That just proves that different things work for different people.
One thing I would question is the need for an ultimate edge in all cases. For finish carving, for a smoothing plane on final finishing duties, and for end-grain paring where a good finish is needed, you do need VERY sharp tools. For roughing out duties, heavy chopping and the like, an edge off a medium stone will serve perfectly well, so there's no need to spend time and effort on a arm-hair-shaving edge. Judging when to stop sharpening and start cutting wood is just another of the skills that come with a bit of practice.
So the scientific approach is bunkum? Certainly not! Knowledge is power, and even if we don't need to apply every last detail, at least we now know more about it than we did before. Good craftsmen never stop learning, and are secure enough in their craft to know that they'll never know it all, and there are more ways than one to achieve almost anything.