Semi-chisel chains work well with dirty wood. After skidding whole logs out, we went to bucking ( cutting to stove size "butts") on the felled tree, humping the butts onto a trailer, piling them for later splitting and stacking.
All of the grit, sand, dirt is usually in the bark and the cambium layer just under the bark, particularly with heavy barked species like the oaks and elms.
See if you can get a bark "spud" northeastern U.S tool that strips and peels the bark.
Also the Pferd sharpening tool is super: it does the chain and raker in a pass.
I thot there were only tulip trees in Holland LOL