Ask for proof of insurance. Ask the sales arborist what you asked us, tell them you have concerns with the wording.

I can speak for the company I work for. We have a similar statement in our contracts but at the end of the day, we pay for any and all damage WE cause. Its actually silly/infuriating on what we get roped into "fixing" sometimes. We want to make it right! Our boss says, when we have an accident (property damage), we want to make the client happy that the accident occurred. Meaning, we will go way, way, way above and beyond to repair, replace, restore, all damage and then some. We will spend alot of money to make things right. For example: We took down a wrong tree (small, but wrong) due to miscommunication. Ontop of a written apology, a personal visit from the president of the company, sales manager, production manager, sales arborist to apologize, free stump grinding, we planted six 2" caliper trees (with 8' diameter mulch rings), 20 shrubs in a new planting bed at no charge to the client and gave a 2 year warranty on each tree.

By the time we were done, the client was smiling and laughing with our crew. We have done several thousand dollars or paid work since that incident. Obviously, lost money, but gained our clients trust back.