The purpose of the amplifier output relay is to avoid annoying turn on and turn off "thump" sound from the speakers. Another function is to disconnects the speaker immediately if there is short circuit, over current or DC detected on amplifier output.
However, almost all relays have a minimum load requirement is that the mechanical action of closing coupled with an actual current flow are required to ’whet’ the contact and break through a layer of oxidation that invariably builds up. That is one reason that small signal relays generally use gold plated silver contact to resist oxidation, but gold is expensive and would simply be burnt off under power switching conditions.
The Amplimo LRZ loudspeaker relay is a special relay designed specifically for amplifier output connect to speaker. It has two contact areas, one tungsten contact which can switch 100A (at 50V) to take the arc upon making and breaking contact for loudspeaker current. And a gold plated silver contact, giving negligible contact resistance even at small currents to bypass the tungsten contact.
IMHO, Amplimo LRZ relay is one of the best amplifier output relay other than MOSFET solid state relay.