W/ the helical gear only a % gets sent to the tire w/ traction and I see how it can be confusing.
If you have a wheel stuck or better yet a wheel up, that wheel will spin slower and w/ less force than the tractioned tire.
In your senario, correctly it would have likely been 20% force on pavement and 80% in the mud. The slippery tire would be spinning more than your tire w/ traction, plus the torque to that good tire would still have to be enough to over come the forces to get you moving. SO, it could still turn out to be a Zero-0% on the pavement and 100% spinning in the mud. The design does not force full engagement. It is designed to please the pavement pounders.
The internal gears don't care which tire it is, it will still send more power to the tire that is on a surface w/ less friction coefficent. If the tire on the pavement has a Chuck Norris kung-fu grip on the pavement but the mud is like a greased pig, especially on a 7600lb truck, I'd bet dollars to peso's you'd still be stuck. The helical gear will never provide the traction benefit the No-spin does, it's the nature of the design.
The no-spin will always provide traction to both wheels unless you snap an axle shaft or the internals. If you snapped an axle shaft, one tire would still turn w/ 100% force.
On a helical gear if you snapped an axle shaft, you're screwed as the good shaft/wheel will act like your on pavement and the broken one will think mud. The broken shaft will turn with more force than the good shaft and you will sit still there or best bet, move along at a snails pace.
Since the 10.5 is a full floating axle it is an honest test you could perform w/o breaking anything. Remove the axle shaft and see which one performs better.
The no-spin would turn into a one wheeled wonder but it would drive like it was just off the lot. I'd bet money that the helical gear, at best maybe crawls along slowly. Again, I can't see spending 550 bucks for basically a modified open diff VS $650 for 100% turnie-the wheels no matter what situation.
Another example, albeit extreme; is the photo. If the fronts were the only drive tires, you'd be stuck w/ a helical gear or LS. The detroit w/ allow the tire touching to spin.