I'll bet they don't like you to chew, either.
Now, to be totally environmentally correct, even a hand saw would be non native and intrusive to a pure wilderness setting. Damn things are made outta metal, ya know. I'll bet the wooden handles on them are another non native species. Leave 'em in the truck.
No cell phones, no watches, no GPS gadgets. No granola or trail mix, no prepared foods of any kind. Catch a bunny, rub two sticks together for fire, char and eat. No water other than what you can slurp up out of a creek. Toilet paper? Use moss. I think people who worship the wilderness owe it to themselves to experience it in as pure a form as possible.
I think the people involved should resort to using leverage and brute force to move the logs... pointed sticks, sharp rocks, fingernails, stuff like that. And no hardhats or other protective clothing. Loin cloths and bare feet. No gloves. No first aid kits. No communication between workers other than mono syllabic grunting and hand gestures. Chanting would be allowed.
Or...you could just leave the blowdown where it is...and walk around the damn thing.