I have seen far too many front-line photos of US soldiers in war zones carrying belts of ammo "Pancho Villa Style" to believe that it wasn't done. I also have had infantry vets tell me that they had done this with their ammunition.
Since this appears to be so, it is no danged wonder that the M60 has a lousy reputation as a jam-o-matic. Belts carried in the open attract all sorts of crud, from airborne dust to whatever mud, or dirt, or water, or snow, or ice the soldier finds himself in. None of these are of any aid to reliable functioning!
The "squad automatic" in my early service was the wonderful Bren .303 Light Machine Gun, a magazine-fed gun. It was replaced with a heavy-barreled FAL, also a mag-fed weapon, and about eight pounds lighter. To a man, everyone I served with wanted the Bren back, after some experience with the FAL.
Routine management called for every man in the squad to carry at least two loaded 30-round Bren mags, in addition to the five carried by the gunner and another four carried by his #2 gunner. There are some advantages to the magazines. The ammo is protected and clean, as well as being in a compact and manageable "packaging". In hot spots, loaded magazines can actually be THROWN from cover to cover, which is tough with a 200-round belt!
After the HB FAL (C2/C2A1 in Canadian service) became standard, it used 30-round magazines, but the 20-round rifle mags used by everyone else in the section fit and fired perfectly in the C2, so no extra mags needed to be carried by the snuffies in the squad.
I've had some experience with belt-fed guns as well, and frankly, I'd take an L4 7.62mm Bren over any other squad automatic I've seen or fired. The later Brens were a good bit lighter than the early Marks, being down in the 18-pound range....and they offer DEADLY-accurate firepower. I just don't see the belts as much of an advantage. Firepower = rounds on target, not a lot of fast noisy misses. (Mag change on the Bren is about a two-second job with a two-man crew, and perhaps four or five seconds if the gunner is alone).
I'm not sure just how much a given number of links weigh, compared to an FAL magazine, for example. I suspect the net difference isn't all that much, although the links will clearly be lighter.
Anyway, this ol' soldier would pay the weight penalty, in favor of truly reliable function.