gave up and ordered the 850W one.
On that website it does say "Motors fitted to hand tools generally do not require any additional start-up current."
So maybe I'll be OK, maybe not. The power tool motors won't have the working load applied when they start, unlike something like a fridge, so the starting surge shouldn't be as severe. I've mailed Lionsun to see what they say, and see if I can send it back if it's not up to it or if I can cancel the order. The latter is more likely- I don't know if these things have a bit of oil and petrol lurking from testing or not- otherwise it can't be returned and resold after try it.
Has anyone used a hand drill, belt sander etc with a small petrol generator?
Maybe I should try hiring one for a day and see.