i have an ecoflow delta 2 that is the equivalent of the jackery 1000 and runs my induction burner just fine. boiling water, it pulled right at 1000 watts (its an 1800w unit) and according to the readout, that has over an hour of usage at that rate. i didnt max out the burner, but the setting i used boiled 2 cups of cold water in 2 minutes, so that gives you an idea of power consumption
i use 3-ply viking pots for liquids and carbon steel pans for meat and both work great on the induction
our camper has a 280ah battery with a 3kw inverter and that will run the burner full power for quite a while, but the delta 2 will do a good job and i figure i could get 5-6 meals cooked on before having to recharge.