The 13.3A is the max continious current from a honda 2000. While they claim 2000VA peak, that is in most cases for seconds at most. But the honda 3000 or handi is also 3000VA max, much less continious.
So the two honda 2000 still win.
We have two honda 2000. advantages are much less weight, easier to carry, only use one in most cases, and the cost is about the same as the honda 3000i (not handi).
But you give up the remote start.
But while your looking at the hondas, check out the blue ones also (yamaha) They also have some nice choices as well.