I would just check the filter now, and also after several hundred miles.just to make sure it doesn't get motor oil on it again. Reason: It may have originally been coated with regular oil on purpose.My only worry was how effective it would be to clean off engine oil which is a lot heavier oil than the k&n filter oil used on them. But I’ll probably give it a go, still money out of my pocket since I don’t have the kit, the filter was only a few months old
As to it's thickness: The only harm straight SAE 5W20 would do, is to fuel economy and emissions...And most of those emissions, the O2 sensor and cat converter could easily swallow. Not sure what K&N uses in their kits, but I know what I smelled in the pits of the local drag strip... I walked by a guy who was spraying a red juice from a generic spray bottle on his K&N..It looked and smelled like ."Marvel Mystery Oil" to me. I don't know for sure, because i didn't ask --- but it sure brought back old memories of youth.
And I realize this is apples/oranges here, but a bit of history trivia: Before the advent of disposable paper filters, most (even lawnmower) engines use "oil bath" type.filters, in canisters, and that's something else Dodge brought back (that I'm not very happy about, btw). Many of the reusable elements back then were similar to today's K&N's, and were cleaned in solvent (gas usually), allowed to dry, and usually re-wetted in standard motor oil.