I guess there's a degree of oiling. I remember our family's 1990 Chevy Lumina APV and doing the oil changes and air filter changes. The AC filter was easy enough to find when KMart carried it, and cheap to boot. It was lightly oiled paper, where the oil looked noticeably yellow. It was packaged in an uncoated corrugated cardboard box, and one I had in storage unused had a noticeable amount of oil that had been soaked into the box.
Now the "short" filters for my 2004 WRX are moderately oiled. They're wrapped in plastic and there's a noticeably amount of oil clinging to the inside of the plastic wrap. I remember the first time I changed the filter, I posted photos on a forum of the factory installed (orange color) filter along with the replacement OEM filter. The comments started off with a warning about the MAF sensor possibly getting messed up by the oil migrating from the filter. None of the mass-market equivalents (Fram, Purolator, Wix) are oiled though.