I think a lot of the base numbers are like tire inflation numbers. They are the manufacturers recommendations for best performance of the time under normal conditions
However, under certain conditions, it's better to under/over-inflate a tire. And, over-inflating can actually give you better fuel efficiency; however, there is a trade off of slightly longer braking distance. On another forum I was on, a tire manufacturer rep said that it would be safe to double the printed number on inflation. But, not recommended due to it being extremely rough and wear out the tire faster.
So, with these inverters, it's recommended to run at X-Watts with a heavy load of 2X-Watts for a brief time. So, if they are designed to run for 10seconds (guessing a number here) at 2X-rated, then running at 1.5X-rated should be able to go longer time. Flat progression of time, or curved? That I couldn't say. Would it be 15seconds, 20seconds, or 30seconds under 1.5X-rated.
I think it really comes down to the dissipation of heat under those loads. If you can keep the unit cooled off, then it can handle the higher loads easier. So, important to make sure there's plenty of air flow; maybe even knock a hole in the side and add another case fan to help out. (squirrel cage fan perhaps?)