Yes after you spend the 60$ or so on the compressor and 100$ + on a good inverter you are almost there anyway. But I guess if the budget is tight or you already have the compressor then go for it.
I actually have that exact compressor. I run it off of a 2000 watt peek 1200 watt constant generator. The generator doesn't even big in the slightest at compressor startup empty or partial fill. I would wager that a xantrex 1k pure sign wave inverter would run it reliably.