You are looking for drawbacks... Well, if we have electricity, either shore, generator or inverter, we can cook. Can't use out of propane as an excuse to not cook. DW doesn't get to experiment with overcooked or undercooked food because of lack of LP pressure (tank less than full), or altitude effects on burner efficiency; #4 or #2 is always the same amount of heat on our induction cooktop. The wife doesn't have time to do her nails waiting for water to boil on LP...the induction top is as fast or faster than the microwave. We don't get to breathe various cleaners trying to get burnt on food off and out of the burners; induction cookbooks are flat, smooth and can't burn food onto its surface.
In short, it saves us so much time and aggravation, that we now spend more of our time thinking of things to do besides slaving over a hot, wasteful LP burner.