A relay across a surge limiter (which is what they are) is either bad design or it performs some other function not immediately obvious.
Actually, it is good design. I've seen it mostly in high-end, high-power supplies that have more price margin to work with, such as the Westcor Multi-pac.
Inrush current limiting works well only if it works every time. Inrush techniques that rely on the temperature of a device are fine when the supply is cold, but need time to cool off between inrush events. After a brief power outage, the surge limiter might not be cool enough to provide any protection, leading to connector damage and fuse-blowing.
The relay shorts out the surge limiter during normal operation, which has two advantages. Second, it increases system efficiency a small amount, although this is partially offset by the relay coil power.
First, it allows the thermistor to cool down to its high resistance state while the supply is in operation. If input power bounces quickly, the cool thermistor can once again limit the inrush current. Without the relay, the thermistor is in the primary circuit continuously, which keeps it warm, so it cannot protect the input unless power is removed for many minutes, long enough to cool off.
ak