Instead of trying to show that the voltage is not generated in the junction, show that it can be generated without dissimilar metal junctions. Construct a flat parallel plate capacitor with two plates of the same material (e.g. aluminum foil) separated by an insulator (e.g. Saran wrap). Connect the plates with a piece of aluminum wire thin enough to provide reasonably high thermal resistance. Squeeze the plates and the dielectric material together between two nonconducting objects of different temperatures (preferably differing by a few hundred degrees Celsius). While the temperature gradient is being applied across the capacitor, use aluminum-bladed scissors to cut the thin aluminum wire. Allow the plates to reach the same temperature, then measure the voltage between them with a high-ohmic voltmeter.
The Seebeck effect should result in a net charge transfer between the plates of the capacitor, with electrons migrating from the hot plate to the cold plate to cancel out the Seebeck voltage. Then the wire connecting the two plates is cut. When the hot side of the capacitor cools down, the Seebeck potential disappears, but the transferred electrons remain trapped on the (formerly) cold plate. The formerly-hot plate, then, will have a slight positive voltage relative to the formerly-cold plate.
Disclaimer: I have not tried this, and therefore cannot say whether the results support, disprove, or are inconclusive with regard to the original claim.