Oiling the filter won't save your chainsaw from rust
Lightly oiling a foam air filter is fine for storage, but it won’t do a thing to stop rust inside the engine.
Rust forms on steel and iron — the cylinder wall, crank, bearings, bar studs. The air filter never touches those. Moisture gets in through the carburetor intake and the exhaust port, then condenses on cold metal. A damp filter in a damp shed might even make things worse, since it holds moisture right next to the intake.
What actually works: after the last cut of the season, drain the tank (or fill it completely full with stabilized fuel — a full tank leaves no room for condensation). Then pull the cord until you feel resistance, which puts the piston at the top and seals the cylinder. Finish by pulling the spark plug and giving the cylinder a quick shot of fogging oil. That coats the metal where rust actually forms.
The filter itself: if it’s foam or felt, clean it, dry it, and oil it lightly with air-filter oil — that’s normal and keeps it ready to go. If it’s paper, don’t oil it at all; paper filters are replaceable for a reason. Over-oiling just makes the saw run rich and drip oil down the case.
Fogging oil is cheap and it’s exactly for this. The filter is a filter. The fogging oil is the raincoat.
