I created the two tables and entered data in them exactly as stated in the question and ran statements A and B. Both returned the exact same result as below. The only difference was the heading for the third column, one said UniqueID, the other Unique_ID.
FRED13
FRED23
FRED33
FRED43
BILL12
BILL22
BILL32
BILL42
RON11
RON21
RON31
RON41