False. They never did an 'experiment' like Mizuno tried and then ran it across campus to other places and put it in buckets of water, etc., etc.
Well, okay, if you want to define it that way, they did not. They used much better techniques and instruments. They put cells in heat after death, boiled off the water, and then observed that the cathodes remained hot for hours or days. The duration was not as long as Mizuno's cathode, presumably because the cathodes were ~1 g whereas his was ~100 g.
If you say that a replication must include moving the cell from one location to another, and the water must be boiled in a bucket rather than a half-silvered Dewar, then yes, this was not a replication. Those seem like peculiar stipulations for a replication. I cannot imagine why moving the cell from one location to another would affect the physics of the reaction. The enthalpy of vaporization for water is the same whether the water is in a bucket or a Dewar, as far as I know. So I cannot understand why you think these things matter. But you are, after all, someone who is convinced that professional chemists cannot tell that an object wrapped in towels is hot or cold. It is no more strange that you think enthalpy varies by the type of container.