Electric carving knives, the ones with two blades working against each other like a hedge trimmer will work even better.
As for being too dense, probably correct but the poster is having fun with his conspiracy theories on over priced & ineffectual air filters so let him run with it.
Worst that can happen is the engine choke, the highly flamiable foam get saturated with fuel then the mower catch fire & burn.
But the important thing is it didn't do it with the overpriced $ 15 air filter in situ.
When I was jockying an emmission spectrograph, it sat in an airconditioned room , in an airconditioned room in an airconditioned bulding.
Now these were fairly standard widow models with a finer foam pre-filter th a paper filter . The principle reason was dust exclusion.
One bright spark decided we could use dressmaking foam sheeting to replace the very expensive duel filters.
And it worked a treat, in fact they were finer than the paper ones and we had significantly less dust in the spectro room, a big bonus for me as I used to have to clean it 4 times a shift.
Then during a time of high humidity they both froze destroying one of the air con units and ending up flucuating temperatures in the spec lab to the point the results could not be trusted so in place of a 3 minute emission analysis, we had to do a full wet analysis for the major elements and atomic adsorbtion for the impurities.
To do the latter we had to buy 9 new tubes at over $ 1000 each and then near 100 analytical grade certified volumetric flasks to make up the synthetic refference solutions and run an extra chemist till we could get the air con unit replaced which was no longer available so the building had to be altered to fit the new unit and then wired up 3 phase.
Several batches of alloy had to be recalled and reprocessed and then muggins here had to spend a full week working 12 hour shifts in the total dark while I realigned all of the photo tubes, all 278 of them, after which we had to buy in several dozen more certified standard samples so the machine could be recalibrated followed by a month of double shifts to clear the back log.
But OTOH we saved about $ 1000 on filters and the new units were genuine laboratory air con units with a coarse prefilter & electrostatic final filter which is what the General manager vetoed when the gear was first installed.