Jamie did nearly the same thing as a kitten. Our street was dug up for work on the sewers, and he got out and crawled into a pipe. We couldn't get him out, so we called the fire company (directly, not the emergency number), and they said they'd come if we paid. They couldn't get him out, so they called in the water company, which did. It was a whopping bill (we ended up paying about $1,000 ourselves, and our insurance covered the rest; we had "personal liability insurance" coverage for him, which is required for dogs here, but not cats), and ended with our pet insurance being canceled, and Jamie blacklisted, but they did come.
The question is, who can you call if your pet is stuck someplace? Tree cutting companies will rescue cats from trees, but what if it's a pipe, wall, or roof? I think there should at least be some sort of standard policy, with the fire company doing the rescue, but billing the pet owner for the time.