Botanically, peanuts are legumes, not nuts.
I do refrigerate all of my vegetable oils, mainly because I use them in small enough quantities that they can go rancid, which is also why I don't buy them in gallon-or-larger jugs. (I think I've been using the same small bottle of olive oil for over a year.)
I switched from canola to corn oil last year, mainly because I had some canola go bad and it was REALLY bad! Corn oil doesn't seem to go bad as fast.