The Sunforce PSW 1000w they sold a while ago had two receptacles , but they way it worked was each was rated for 500w so you could not get 1000w plugging in one thing. Many/most other inverters let you get the whole rated amount from one receptacle.
I think this whole standby draw thing is bogus in most scenarios, since you can just turn the inverter off when not in use. If the standby draw is included in the draw when loaded, it can be trivial in comparison with the load itself's draw.
If a microwave draws 120 amps, what is another 1 or 2 amps? OTOH if your res fridge draws 4 amps, then another 1 or 2 amps could mean something. Scenario is everything.
Using a smaller wattage inverter for smaller loads won't help much, as it appears they have as much standby draw as a bigger inverter. The real culprits are inverter/chargers, which have way big standby draws, since they need 12v to operate all their fancy features.
Then there is the question of where on the efficiency curve your load is wrt the wattage range of that size inverter. If not near peak efficiency watts, you will "lose" perhaps as much as from any standby draw included. But info on their curves is not included.