The Bill Mould analysis was good but seriously flawed. Additionally, there are some misguided thoughts or insights in the thread as well.
I say that not as a person with substantial bike experience, but as an aerospace engineer and scientist, with substantial (compared with most people in these fields) "field experience", including personally working with an A&P to rebuild an aircraft from a damaged airframe shell to flyer.... Aircraft and bicycles have one critical thing in common (from an engineering point of view): both need to find "the sweet spot" between lightness vs having sufficient strength and durability, as well as cost to manufacture and cost of ownership. That said, I yield to Chalo's experience, which is directly applicable to bicycles as this is his primary profession, I believe, and I learned at least 5 years ago or longer to trust his recommendations.
That said, there are several dynamic effects to be considered and not just the stress on the spokes, and while Mould's analysis attempted to recognize that, his analysis was a bit misguided.
The reasons spokes are laced in non-radial ways are several. The primary ones of these include, first, strength of the RIM, which Mould's analysis ignored entirely. Secondly, the longer the spoke, the more stretch and therefore the more shock load it can handle. A third primary reason for cross lacing is reducing the load on any individual spoke's mounting points at both rim and hub, a fact Mould's analysis noted indirectly.
Another key issue with his analysis is that it was just straight on running; it gave NO insights into what happens when, say, you hit a curb head-on or at an angle or any of a number of critical, dynamic realities of a rim in service.
These are hopefully somewhat rare events, but a wheel surviving them, even if bent, might WELL mean the survival of the rider! ...I've been hit by cars while riding at least three times I can recall in my life, including TWICE on
my Raleigh e-bike conversion, and I can say that
durability in a wheel is vital beyond many rider's awareness, and straight, radial lacing has to be THE worst there is on this point. And THIS is why it's primarily only used for show bikes, as the old-timers will tell you!
He, Mould, makes a good but, in my view, incomplete take on the thread issue: YES, the threads are a vulnerable spot, but the RIGHT solution, given the lack of "properly made" nipples that can support the spoke beyond the threads by being a net-fit on the spoke, is to have a spoke that's thin in the middle, which he correctly pointed out, but he didn't "bring it home" with a solid conclusion on the matter: Thicker ends, especially the threaded end, is "the" solution to the risk of breaking at a thread.
Personally, I wouldn't worry about that much because, were his analysis more complete, the math says even the smaller diameter spokes will have more than sufficient strength; a SINGLE SPOKE should be able to handle the entire load of rider AND the (non-collision) dynamic forces acting on it, it just has to be aligned "straight!" It's the BEND that's the issue, not the threads, and several replies have already pointed out simple ways of curing that problem.
An additional aspect that Mould misses is that the dynamics of rotation, important in both bikes and propeller driven aircraft, has a gyroscopic effect that, oddly, puts the
apparent outside force acting upon the rotating body roughly (for our purposes) 90 degrees advanced (that is, in the direction of rotation) from the direction of rotation. This means that any effect of a spoke losing tension as it reaches the direction of gravity is an effective red-herring: Firstly, it's not harmful unless it's so loose that it can back out over time. And secondly, it's the load of the spokes ABOVE the hub that are taking the load of the weight! And see from his data how lightly loaded they are?
I also think he gets it wrong when he implies, but does not say, more tension on the spokes is better; I SERIOUSLY doubt it. Good to a point, SURE, but more is not always better! Chalo?! Care to chime in on that?
A few other points:
Sometimes in engineering, as just noted in the last bit I wrote above, less is more! One key example was learned by bicycle makers around the (PREVIOUS!) turn of the last century (about 1900) and got carried over as one of the foundational principals of aeronautical engineering: The tapered tube front fork was designed around then and it takes more load while being lighter! There are many other examples.
More surface area on load bearing surfaces - like the joints of spokes to rims - is always beneficial in terms of spreading the load, but it can sometimes have negative side-effects, so each engineering circumstance has to be considered individually. In this case, Chalo's decision, as noted above, was to add washers as the additional weight was negligible as compared to the benefit.
Happy Trails!