The low FODMAP is similar to Paleo or SCD, both of which cut out grains, particularly glutens, lactose, legumes and sugars and certain fruits and veggies (which seem to vary a bit, based on which diet it is).
But the main precepts of glutens, lactose and legumes seem to be commonalities.
There are a number of people here who do Paleo or SCD (myself included) and claim they've seen significant improvements so I guess I wouldn't be surprised to see similar response to low FODMAP.