Maybe they'll take trees down, and maybe they will send YOU the bill.
Depends on where you are.
Here, County and State roads are good, especially if there are utility Right-of-way. Somebody gets it. Occasionally on county roads trees lay there waiting for the first firewood harvester.
Township roads are a different story, and every township is different. My township road supervisor is a good egg...he takes the easy ones down himself, free, or calls a firewood cadger, unless he's written the landowner a notice and they've ignored it too long.
Then they pay.