Just read that draft of the script. Yep, she's there in the swimming scene. She also works for Nogura. She bites it in the transporter. Oh, and Kirk says he was going to ask her to marry him...but he fails to mention her again after the accident.
Whew. I thought I was losing it. I assumed that the Lincoln Enterprises version of the "In Thy Image" script, featuring Alexandra, was the most commonly circulated one.