I'll address some of the things mentioned above.
"That design also automatically makes the bottom limb stronger and more resistant to bend than the top."
Nah. Only if it's not accounted for in design and layup, or not adjusted for while tillering/adjusting relative limb strength. Asymmetrical bows can readily be made with equal strength limbs(equal relative to the archer's holds)... whether glass bows, selfbows, or others.
"...how does this(asymmetry) relate to being a good design and how does this make this a better bow to shoot?"
The asymmetrical design puts bow center(the bow's static fulcrum), the string hand fulcrum, and the dynamic fulcrum all in closer proximity to one another... not only at full draw, but throughout the entire drawing sequence. It does this for both split finger and 3 under shooters. This makes for a bow that does not have at all, or has considerably less of, a fulcrum under the bow hand that slides or moves as it's drawn. Some folks wouldn't recognize this, they're so used to it. But I much prefer an asymmetrical bow's balance and stability during the draw and shot, and have found such bows easier to tune, softer shooting, and better balanced to carry as well. When carried at my side, symmetrical bows always feel like they're trying to fall out of my hand. That alone is unacceptable to me. Every bow I make is asymmetrical, and I don't find them any more difficult to make... in fact, it makes some aspects of crafting and tuning them easier.
Selfbows showing more string follow in the bottom limb can be due to a combination of factors. In my opinion it can have more to do with the bottom limb being tillered too strong relative to the archer, and then the bow grip is heeled as a result, and the bottom limb takes set over time because of it. It's kinda like the wood is trying to show us how it should have been tillered to begin with. If asymmetrical selfbows are designed appropriately and dynamically balanced, the limbs are in harmony strengthwise and the tiller holds very well. It such a bow takes any set, its distributed evenly between the limbs.
The bow you mentioned from "Two Tracks" doesn't surprise me at all. After balancing them relative to my holds, many of my bows have even tiller, or are slightly negative, and every one with a predetermined nock point which places the arrow 1/8" high on the nock end... or less. They're balanced in strength and nock points don't need moved. If I had to move a nock point to get better arrow flight, I'd look real hard for what I did wrong during construction.
When a nock point is moved higher to cope with limb strength disparity, it isn't done without consequences. The fulcrums are further separated, which increases the sliding fulcrum phenomenon, adversely affecting the bow's feel, shooting and tuning characteristics. Are the adverse effects noticeable, or minor? Depends on who you ask.
For me, a level arrow and a balanced dynamic draw with fulcrums in close proximity makes for one sweet bow, imo. Asymmetry for me.