Does peltier effect account for lose of voltage of the cell?

Question

The Peltier effect is the reverse of the Seebeck effect; a creation of a heat difference (between two joint) from an electric voltage.

This temperature difference gives rise to a seebeck voltage which is opposite the voltage of the battery. So we can resonably conclude that it can contribute to the loss of voltage of the battery, can't we?

Answer 1

That's one way of looking at it. Generally Peltier devices are considered to have energy consumption and heat output that is a good deal more than the thermal transfer it produces from the cold side to the heat sink. See the ref.
Page 2 of the ref. describes the Seeback voltage as similar to the back EMF of a motor. The higher the temp. difference across the device the higher the opposing Seeback voltage and the lower the current. So the Seeback voltage opposes the battery voltage but describing it as contributing to battery voltage loss is misleading since it doesn't discharge the battery faster.