I would say that the 60-4 provides K-frame accuracy in a more compact revolver. The balance is excellent if one likes a little heft at the front end, which I do, especially in a smaller revolver. It helps soak up recoil, allowing you to use a wide range of ammo without pain.
It's a good platform for a small-handed shooter, where an L-frame may be too large and heavy, and a lightweight snub too hard to shoot accurately and too snappy in recoil.
Compared to the standard 1.875" M60, you get an extra 1.125" of sight picture, an extra 1.125" of muzzle velocity, much better sights, and a full-length ejector rod. Taken together, it adds up to a much more competent performer, addressing many of the compromises of snubnose revolvers while remaining a reasonable size and weight.
The 60-4 is sort of the ultimate hybrid. Some may feel it is too compromised and does nothing well. But holding it in the hand, it just feels right. Rather than doing nothing well, it attempts to do everything well, and largely succeeds. With larger grips, you can compete with full-size handguns on the target range. With boot grips and removal of the rear sight, you can pocket carry the 60-4 in the right kind of pants.
But the 60-4 probably works best, as others have said, as the ultimate trail gun. Rugged stainless finish and built before many of the modern changes took place (no IL or MIM, firing pin is on the hammer). Easy to carry on a belt or shoulder holster or in a pack or tackle box. Accurate and powerful enough to put meat in the pot. Can use powderpuff loads for smaller game, shot loads for snake country, and +P for defense against larger predators.