I learned this one about a year ago and every time I try and do the push stroke I pretty successfully slip and cut myself. So I get you can do both but I'll be damned if the pull stroke isn't the only one I'm still doing.

Oh, damn. Duh!

I never even thought about it, but that's why there are two sharp blades.

Well I've never heard of, seen, or done 'two stroke peeling' - but I use both blades depending what/how I'm peeling: you can either brush away from you, or pull in against your thumb as you would if using a paring knife.

That could also be explained by left handed people wanting to join in on the vegetable peeling fun.

I'm thinking peelers with horizontal blades. Not the knife keepers with the blades parallel to the handle.