Normal populations without serious clinical issues do not need rigid heel support with shoes or devices.  Our heel support is in the foot itself!  Beyond the stability of the heel, the ankle above is primarily about mobility.  Some heel support can also reduce ankle mobility depending upon design.  If you bind or restrict the ankle from being mobile, you will increase stress and chance for injury above the ankle in lower leg bones, knee, hip, and even the back plus increase stress below the ankle in the foot itself.  From a strength perspective, to obtain “strong” ankles, we need to be able to move and exercise the ankles through FULL ranges of motion—not bind them in restrictive positions because over time—bound ankles mean weakened ankles.  Again, give your foot a chance to do its job first—not the shoes, braces, supports, or other devices!