Actually, young Lois has the original's memories, too. My working theory on how the clones on TOGOM was that is wasn't a genetic memory but a soul memory. Lois's soul memory was activated by Wells when she was five.

Big Apricot Superman Movieverse
The World of Lois & Clark
Richard White to Lois Lane: Lois, Superman is afraid of you. What chance has Clark Kent got? - After the Storm