People with high arches have to pronate when running faster to push off the big toe, otherwise we supinate?

Depends on rigidity: The problem with high arches is that the pressure can be shifted to the later side of the foot and increase stress on both the bony and ligament outs and tendonous structures laterally and lead to injuries such as stress injuries to the fifth metatarsal, perineal tendon injuries and recurrent lateral ankle injuries. Often a runner losses the advantage of a strong big toe push off. Orthotic insole.