I just worked on an 1kW DC supply (25v @ 40A). There was no soft-start nor PTC on the input. With the output set to zero and no load, there was a 50% chance of tripping the circuit breaker when switched on (due to inrush current.) This is ok! Because it was meant to be powered from a 30A breaker, and I was using a 15A breaker.
The peak current is many times this, but for a few AC cycles, it doesn't matter to the health of the supply. It was properly fused, and being "slow" fuses, do not open erroneously. Still, if I were engineering the thing, I would've implemented soft-start.