When I was exposed to a small amount of concentrated nitric acid, I thought it was adequate to flush with running cold water. But people insisted I soak in sodium bicarbonate solution. Unfortunately, it was a very minor exposure (heh), so I can't qualify how much different the methods were for helping me.
This is a problem. What do you use for an acid spill -- bicarbonate. What do you use for an alkaline spill -- I dunno, vinegar? It matches the theme ... the opposite of the spill, but weak enough to not cause damage on its own. But really, what laboratory keeps stocks of those two reagents around for spills. Some labs keep buffers around just for spills. But you have to inventory those too, discard when expired, re-order, replace, and keep handy. So its not really as simple as you might expect.