The Johnson LMG, updated, 12.5 pounds and belt fed......
This is the very definition of a "TEMPORARY" machinegun. .30-caliber full automatics for the machinegun role NEED WEIGHT. Why do you think the Browning Automatic Rifle is a "rifle" and not a "machinegun"? It's because, even at a weight of eighteen pounds, let alone 12.5 pounds, it does NOT have the ability to deliver sustained auto fire. It overheats very quickly, and has no barrel-change capability (unless its an FN (D), which is extremely rare).
The weight, particularly barrel weight, performs a heat-sink function that reduces the rate at which the gun heats up. Less weight = hotter/sooner, and HEAT is the enemy of auto weapons. The weight also means heavier and more robust working parts, also leading to more-reliable function under full-auto fire, which imposes extreme stress on everything in the gun.
I was trained on the Bren LMG in the Canadian Army, and was there when the 5-pounds-lighter FN C2 heavy-barrel FAL replaced the Bren (Mark 3 Brens are under 20 pounds...earlier Marks are heavier). There is no comparison, either for accuracy OR sustained-fire ability...the Bren is a machinegun, and the C2 is a rifle. It would have been far better and less expensive to simply convert the Bren to 7.62 NATO (as the Brits did) to serve beside the new FAL rifles in the infantry.
There is a price to pay and a trade-off to be made for every physical factor in a machinegun. Lighter weight seems desireable UNTIL one needs the gun to fire accurately and function for a relatively long period. It then becomes apparent that a few extra pounds can be a very good thing indeed.