I'm going to go out on a limb and say that Shae replaced Tysha as Tyrion's driving narrative/focus on the show. Sometimes narrative shifts like this are required to adequately develop a book character on a different medium. In the writing, Tyrion is able to reflect to himself over Tysha during his POV chapters in the series. While the drinking game conversation certainly felt organic, it may have been difficult to continue to generate discussions between multiple characters over Tysha's existence and the role she played in Tyrion's life.
IMO, Shae's reveal on Tywin's bed in the series (considering her richer character development and deeper connection to Tyrion on the show) was every bit of a shock as Jaime's reveal of Tysha's true identity in the book. I could see why the reveal over Tysha (who was mentioned, but didn't have the presence she did in the books) wouldn't have had the effect on the audience that it did on the bookreaders.
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