Closed valves in a heating system can potentially damage pumps, particularly if there is no pressure unloading valve present. Without proper relief, pumps may experience excessive pressure, leading to blown seals and other failures. The impact on the pump's longevity largely depends on its design; some pumps can handle dead-headed conditions without immediate damage, while others require continuous flow for cooling and operation. Testing has shown that smaller pumps can run with closed outlets for extended periods without failure, but this is not advisable for larger, more expensive models. Ultimately, the specific pump type and system design are critical factors in determining the risk of damage from closed valves.