this is what CAB has to say about the same thing with cars.
http://www.adviceguide.org.uk/wales/consumer_w/consumer_cars_and_other_vehicles_e/cars_garage_repairs_and_services_e/your_vehicle_is_lost_stolen_or_damaged_at_the_garage.htm
obviously it's comparing apples and oranges but indicates that the responsibility should lie with them at least in principle and they would be an insured garage I imagine.
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this is what CAB has to say about the same thing with cars.
http://www.adviceguide.org.uk/wales/consumer_w/consumer_cars_and_other_vehicles_e/cars_garage_repairs_and_services_e/your_vehicle_is_lost_stolen_or_damaged_at_the_garage.htm
obviously it's comparing apples and oranges but indicates that the responsibility should lie with them at least in principle and they would be an insured garage I imagine.