Why would they bother? Good air filtration+good synthetic 2 stroke oil means many hours of reliable working chainsaw. So no parts sold, less profit 
I would try an oil bath air filter in a 2 stroke chainsaw, as I had one about 20 years ago on an old motorcycle. The things I found in that oil bath when changing the oil +cleaning that mesh in gasoline,was amazing... You could use that oil as an abrasive paste, if you ask me... Just by judging its "consistency" between 2 fingers...
And that engine was also 2 stroke,yet the intake between carb and air filter was completely clean although a bit oily unlike in my makita EA6100p... Where I did found some oily stuff WITH a fine wood dust... 
Took me "awhile" to proces that,me puzzled since the air filter was very well placed,clean and tight on that rubber seal...
Only thing that came to my mind was : "these people don't give a **** what happens to the chainsaw AFTER is sold..." . Since chainsaws get used in many positions ,an oil bath air filter is not possible to use(unless you engineer it to STAY vertical as you use the chainsaw) but a thick foam air filter immersed in some oil ,would be possible. On condition to clean it in fresh gasoline more often.and use clean oil every time! No chainsaw user will do that. I think 
Also,some oil will get inside the engine,so...again,might affect the 2 stroke engine!
Only possible viable alternative is...many lady socks on the existing air filter 
Although your girl might not be "that happy" . Once it finds out...