Using a relay in an inrush limiter it will always be switching a low current and not handling inrush at all, and will not be handling the switch off arcing at all. Thus a simple silver contact in a sealed or semi sealed relay will essentially last almost forever, and will not suffer arcing or excessive wear. Even the Omron linked to will work provided you have a 12V source to power the relay.
I have used low power signal relays for this with no problems, a gold flashed 4 pole unit with all 4 poles in parallel, and it has been running for decades. It was the only 48V unit I had to hand, and was rated at 2A per contact.