Guaranteed the engine is going to see the most wear that's detrimental to operation at the top of the cylinder bore around the top ring.
I have an old Honda gx390 engine that someone tried to change the air filter on, lost the o-ring that goes under the filter to seal it against the intake then ran it like that for several hundred hours. The rings were incredibly worn and the bore tapered to the point where it was burning as much oil as fuel. The Honda gx390 engines don't have any kind of oil filter, just splash lube.
That tells me the air filter is way more important than the oil filter by quite a bit an ineffective air filter will kill an engine way faster than no oil filter.
I rebuilt that old engine. It just needed new block, new piston, new rod, new rings and seals.