I believe Miller says that 3/16" is the limit for the little machines, and because they share common Parent companies I'd have to guess that the lawyers who vet the Hobart version of the specifications insist on commonality there as well.
That said let me note this though, I have a Ford SuperDuty with the 7.3 liter Diesel engine, it has a gross vehicle weight of 10,000 pounds - making it one of the beefiest chassis on the road. There isn't a single pound of quarter inch steel anywhere in the frame of that truck - just from casual observation I'd say that there isn't any metal at all in that frame that's a bit thicker than 3/16" and I wouldn't hesitate a moment to weld anything I needed into or on it of similar material.
But we're talking about bikes here, not trucks. When I'm sticking parts on a frame even the little machine isn't turned up anything like all the way. I'd bet that 95% of my use in on metal no thicker than 16 ga. and on that stuff I'm operating on less than half power if I don't want to spend all day blowing holes though metal. Duty cycle is definitely not one of my problems.
Don't get me wrong, if you've got the bucks go for the bigger machine. You'll never be sorry you did. But if you're working on motorcycles and general home shop use, that little 140 amp welder will treat you like a king. Just understand both it and your own limitations. And of course on the big stuff you can nearly always tack it together at home and then take it to a big welder to finish up. If you find yourself doing that often, then get a bigger welder.