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I am not quite sure that the reaction being spontaneous increases or decreases cell potential, but I do know that if Ecell is positive, that indicates a spontaneous process. So the value of Ecell determines spontaneity not the other way around.
When the cell potential is positive, the reaction is spontaneous. When you are given the standard cell potentials of different reduction reactions, typically the more positive value is more spontaneous, and therefore the reduction reaction.
Spontaneous reactions have positive cell potentials, so going off of this logic it technically contributes to a "higher" net cell potential. But as Sarah said the E cell value should determine spontaneity, not the other way.
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