Jim,
It is not electric power that has changed the thickness of our airfoils. It is the change from having almost NO power with the felon fox engines that required thin airfoils and low drag planes to fly the pattern, to when CL got unlimited, useable power with our modern engines like PAs and other engines on pipes and very powerful 4 strokes. Electric is just a more reliable and repeatable version of the above very powerful engine systems.
This abundance of "power" is what allowed the experiments in very high lift, high drag, thick airfoils. These experiments will continue wether the plane has a beautiful, extremely powerful PA .75 on a pipe or an equally powerful Plentenberg motor up front. The fact that one has electric power has very little to do with the airfoil selection.
E power will have an impact on construction (weights in different places, low vibration, no need for fuel proof finish, etc.), and some design issues (barbell, etc.). But it will not have any impact on airfoils.
At our very low speeds (50 to 60 MPH), and low Reynolds #s, our CL planes need to worry about induced drag in our corners, and having low stall speeds. Thick wings work well in this environment, they produce a lot of lift at our low speeds and they have lower stall speeds than a thin wing at similar wing loadings. But thin winged Noblers and other classics still fly real well, in the right hands! :-)
I'm sure you will find some lively discussions on this "thickness" topic over on the design forum. ;-)