Kozov,
On any given question, Bais Shammai might be right or might be wrong. By paskening like the Bais Hillel, the Sanhedrin of the time was declaring that it held Bais Hillel to be correct and Bais Shammai to be wrong. I have not changed my view on that.
The Lubavitcher Rebbe Zt”l was explaining the statement that in the future we will pasken like Bais Shammai by arguing that in the future the Sanhedrin will have greater understanding and the Majority will agree with Bais Shammai who were sharper.
I thought you were arguing that this meant that in every case they will rule like Bais Shammai. I thought that position to be wrong and still do. Later you clarified “No one ever said they will pasken like Bais Shammai in every instance.”
If all you meant then was that they were more likely to pasken like Bais Shammai, then we have no argument.