You should never use dry relay contacts on a power supply input that are not rated for the surge current of charging the capacitor and the inductive stored energy on flyback when shutting it off.
These surges greatly exceed the rated current.
You can however use it to control a resistive load like LEDs as long as it is within the current rating.
Many DC supplies also have an enable control for a logic level or contact closure enable.
Cycling the power supply also adds stress to the supply. Consider if it has a soft start circuit but is cycled too fast and does not have protection.
Most power supplies have a varied lifespan of power cycles due to the added random phase current surge. Your mileage may vary.
PC's have been designed this way for some time to use only a soft logic power switch.
The datasheet of your relay link shows what happens with high surge currents on lifespan. No surprise here.
Although OMRON Relays were 10x better.