Oh, and my Hobart handler 125 is a dog and will turn itself off if you run it too hard/long. I found that out trying to seam weld the perimeter of a intrusion resistant vent on the side of a cargo container. It was a rude awakening going back to a 120v machine from my Miller Invision 354MP that'll run 100% at anything under 25V.
Duty cycle is as relevant here as PTO horsepower, or hydraulic system flow and pressure. Anyone who thinks otherwise just doesn't know what they're talking about. If you need 2900psi to lift the loader at it's rated capacity, but you only feed it 1500, you're going to have problems. If your tiller needs 5hp per foot, but you only give it 2, you're going to have problems. If your work needs full rated power to get the weld hot enough, you're going to be thumbing your exit for a long time if your welder can't keep up.
Now if you want to get esoteric and talk about MIG guns or TIG torches, those are rated at 100% duty cycle and I'm a fan of not using a 300A gun if you don't have to. The last shop I was at they had 300A guns on 300A power supplies, but were only running about 150A (pulsed - where they had 100% duty cycle

). We could've had 200A guns and saved 50% of the weldor's fatigue without ever thermally stressing the guns, but someone in purchasing had their head up their butt and everyone on the floor suffered.