By coincidence, I (actually one of my new engineers) checked some aluminum stairs last week. Turns out there's a big guy (he either weighs 450 lb. or 540 lb.), that is at a site we're working on. And he's pretty nimble, considering his size, so we needed to check some stairs. I thought, "No problem, stairs are designed for 100 psf, these are 4'-0" wide...," easy. But if you put 300 lb. on two bearing bars (four square inches, 2 inch by 2 inch), they barely work. I can't say that a 450 lb. worker taking stairs two at a time (probably not, but maybe) ain't going to happen and it's safe.
My point is that the concentrated load case controls for grating style stairs and don't ignore it. For concrete, I'm sure it's not a problem.
Also, maybe the 300 lb. requirement needs to be changed. We all know guys (and some gals) that push 350 lb. Look at the offensive line for an NFL team. Or a weight watchers meeting. And these people will take the stairs two at a time.