I saw you give the Brahms example in another comment before I posted, so I am not surprised to see you bring it up. But I think you answered your own point. She worked heavily on the Galaxy-class starship's warp drive, which would be a relatively classified project that they would be very unhappy if the Romulans or any other hostile parties were intercepting data on.

And arguably, if she was working at Utopia Planitia Fleet Yards on the Galaxy class project, she presumably worked on a Starfleet orbital facility (technically, a number of facilities) over a span of years, where certainly enough data would be collected to make a poor replica of her personality, as in the show. I don't see anything suggesting specifically outside of basic biographical data, that she was being monitored in her civilian life.

La Forge, having interacted with that hologram extensively, and having surely read Starfleet's records... apparently didn't know she was married.