Since none of the 40-series jacks were/are intended to jack up the entire vehicle at once, are jacks rated at 2 tons even necessary? Specifically, would some of the lower-rated STO jacks be sufficient to be safely used as 40-series jacks?
Not clear how Toyota determines the appropriate jack rating for a vehicle. From a few examples, it appears they use the curb weight and round up. The 09110-13010 jack is rated at 0.7tons (1543lbs). It was used in the Toyota Publica, curb weight 585kg (1279lbs). 09110-35011 Land Cruiser jack is rated 2tons (4409lbs), curb weight 3263lbs (FST), around 3800lbs for the hard top. So the numbers suggest a lower rated jack could be used to lift part of the vehicle. Whether it could be done safely would depend on the particular jack, the condition of the jack and the task at hand.
A couple of considerations for the STO jacks. Those cast jacks are now all over 40 years old, and subject to who-knows-what wear and tear. So some may not be up to the task. Storing other STO jacks in Land Cruisers can be an issue since many of the lower rated jacks are taller, they won't fit the jack brackets.
From a design standpoint would a wider base footprint, a thicker outer casing, or a beefier inner gear have any effect on the supporting capacity of these jacks?
All those play a role. You can see this with the STO 5ton jacks. They are much bigger and heavier than the 2ton jacks. The examples I've seen appear to be very early, pre-1954, since they don't have the JIS mark. The JIS jack standard was introduced in 1954. I'll get some pictures that show both the 5ton and 2ton jacks for comparison.
Not clear if or where Toyota used these larger mechanical jacks. The heavy truck owners manual from around 1958-60 shows a 10-ton hydraulic jack. The Toyota hydraulic jacks I'm aware of 09110-36051 (5ton), 09110-36160 (4ton), and 09110-55020 (10ton) are all made by KYB.
Noticing the variances in the diameter size and number of the ball bearings in the 2 ton jacks, do the bearings have much effect on the weight ratings?
Considering just Land Cruiser jacks, the ball bearings don't seem to have much effect. The RK30 jacks and early -35011 jacks used larger bearings than the later -35011 jacks. But all were rated at 2ton. Will be interesting to see what bearings are in the 5ton jacks.
Is it your understanding that automotive jacks are rated at a certain percentage of their overall capacity, much like ladders provide extra steps not intended for standing?
The Japanese jack standard tests jacks several ways: 1) repeated raise/lower at 120% of rated value, 2) while fully extended, at 150% of rated value for a designated amount of time 3) while inclined and fully extended, at rated value for a designated amount of time. The rated value is considered the maximum working load.
Is cast iron a better material for these jacks as opposed to the steel stamped ones?
"Better" can have several dimensions: stronger, cheaper, more robust, aesthetically pleasing, etc. Cast iron is harder and more brittle than steel. Cast iron tends to fail abruptly where steel deforms before failing. I suspect steel jacks are cheaper to manufacture. The steel jacks are utilitarian, the cast jacks have their retro style.