Most rail cargo is by containers and they also travel by road, so the loading width is restricted by the road loading width, the only way to increase that traffic is to load two side by side, 10 foot (3mtr) gauge anyone :hehe:
Weight wise containers would never overtax rail, even double width and stacked

due to their relatively light weight.
Heavy bulk cargo's do not even push the loading restrictions of SG before being to heavy, so no advantage going wider or higher there.
The only advantage I can see, for the railroad company's, in going wider and/or higher is for a more stable ride for passenger traffic and light bulk loads, wood chips, sugar beats etc, a lot of cost for what is really minimal traffic.
One big advantage for the average person if they went to a 10' (3mtr) gauge would be that the double stacked container trains would be either half as long or half the number of trains, good news for anyone using the level crossings
As an aside, going wider might be needed if ever they start using nuclear power in locomotive's
If starting out now a rail company would still be limited by the containers width and hight, so it would be around 5ft/1.5m or 10ft/3mtr, also I know you said cost was not to be factored in, but can you imagine how strong a bridge would have to be to support iron ore trains with a loading width of around 12ft, the current SG ore wagons are 200 tonnes gross, that would be over 400t without increasing hight, increase the hight and erm 1,000t wagons anyone.
Cheers David