Sorry I run them dry on asphalt. I would probable do the oil on dirt.
You are not stopping the microscopic particles without oil.
Pop off you carbs and look at the bore at the throttle plate. If there is signs of dirt stuck to the bore, the filter is letting the smallest particle through.
I have to ask; Why would you not oil them?
We do no dirt racing and we oil all filters on my personal cars or customer cars. It does not need much, just a like coat on the outside surface. You might be surprised after you oil them how much dirt you get out when you wash them.
Randy - RPM