On Aug. 12, 2024, three days after Rachel Zegler hit the stage at Disney’s D23 fan event to introduce the first official trailer of “Snow White,” she thanked supporters effusively in an X post for driving the teaser to 120 million views in 24 hours. One minute later, she added an afterthought in the same thread: “and always remember, free palestine.”

That addendum, which amassed 8.8 million views, nearly four times the number for the initial post, quickly made the rounds, with many inside the studio expressing shock that the “Snow White” star would commingle the promotion of its $270 million tentpole with any kind of political statement. A Disney executive raised the studio’s concerns with Zegler’s team, while the film’s producer Marc Platt flew to New York to speak directly with her. But the actress, whose relationship with the studio began to unravel in 2022 during a contentious “West Side Story” awards...