Looks like a virtual join will do what you want here, assuming I am understanding the question correctly.
If Col A is an ID, which can link tables A and B, right click on the the Col A column in Table A and check "Link ID" (must be unique).
In Table B right click on the Col A column and navigate to link reference and then select the path of Table A.
A small gold key will show up in Table A:Col A, indicating that it is a Link ID and two keys will show up in Table B:Col A, indicating that it is a link reference.
Now in Table B you can execute an analysis like Fit Y by X and be able to analyze Col B in Table B and Col B in Table A without concatinating them.
Here is the resulting analysis. Col B in Table B is on the X axis and Col B of Table A is on the Y, linked together by the Col A IDs. There is a chance that this is not what you mean, too. If you simply want to apply the same analysis in Table B as you did in Table A you can save the script of a platfrom to the data table (platform little red triangle -> save script -> to data table..) and then copy and paste it to Table B. Then when you click the play button in Table B the same analysis will be run (since you have the same column names).
Connect with me on LinkedIn: https://bit.ly/3MWgiXt