I fly helicopters to pay the bills and small fixed-wings for fun. It is true that lightly-loaded wings (e.g. Piper Cub) make for a much more uncomfortable ride in turbulence than more highly-loaded wings.
In fact the toy I fly most often has quite highly-loaded wings and doesn't seem to give a much more bumpy ride than a similar-sized 2 seat helicopter if I slow the cruise from 120 KIAS to a more helicopter-ish 90.
It has occurred to me that if a light aircraft with high wings were to have flapping hinges at the roots and the lift struts were to be telescopic with internal springs and hydraulic dampers, then this suspension system would make the aeroplane similarly less prone to bouncing in air currents.
However there would be a weight penalty and increased maintenance costs.