We are a commune of inquiring, skeptical, politically centrist, capitalist, anglophile, traditionalist New England Yankee humans, humanoids, and animals with many interests beyond and above politics. Each of us has had a high-school education (or GED), but all had ADD so didn't pay attention very well, especially the dogs. Each one of us does "try my best to be just like I am," and none of us enjoys working for others, including for Maggie, from whom we receive neither a nickel nor a dime. Freedom from nags, cranks, government, do-gooders, control-freaks and idiots is all that we ask for.
The wide spacing of that tractor's steer tires is to align them with the drive tires when used in row-crop fields. The wide axle doesn't improve lateral stability because it provides very little more resistance to side tipping than narrow wheel spacing; it just looks like it should.
I know the recommendation is for a wider front end in hilly country. I can see that it may not be for the actual moment arm when crossing a slope, assuming straight travel. But the real threat when crossing is a hole on the downside or a bump on the upside causing a momentary shift in the moment arm. In such cases, a wide front end would counter small deviation in rear axle level. I would also suspect that the wider front end would improve tracking and steering on side slope and resist a sudden jar of the wheels which could facilitate a roll over. Jar a narrow front end toward the upslope and you'll likely end up with a rear roll over before you can react.
That looks like a Model C Farmall. I have an H with the tricycle gear. Stability is not a problem unless you are on a hill or slope. Then one must use the utmost caution. If it starts to make you nervous or it feels unsafe, it probably is. Do not drink and drive a tractor as there is no leeway for stupidity and you are in a most vulnerable position. Although old, they are powerful cast-iron beasts and like any heavy equipment should be treated with respect.
I have a more powerful new Kubota with power steering and there is a world of difference between the eras. The H Model is more of a hands-on experience. Driving either, it is best to keep one's head out of one's rearmost orifice.