LeChatelier's principle only applies to a state at equilibrium.
When running a voltaic cell, you are not starting at equilibrium, so by the nernst equation E should rise with increasing T whether exergonic or not because In the initial stages [products] < [reactants]:
E = E(0) - (RT/nF)ln[products]^a/[Reactants]^b
When approaching stage near equilibrium, products may become greater than reactants. If that occurs then a greater T causes a decrease in E.