I think they would be far more likely to support a gun exception than a general “no moralizing” rule.
They seem totally fine with the age checks many states are enacting for porn sites. The Republican Party loves slagging pedophiles (real or imagined) and hating on LGBTQIA+ people or trying to make their lives as difficult/horrible as possible.
Yeah some games delisted were horrible. One of the main offenders had already been pulled as soon as Steam (or was it Itch) was notified. But they still used it as evidence. The platforms were policing themselves well.
But not only did gratuitous porn games and abuse games get delisted, lots of games on related to inclusiveness of LGBTQIA+ did too from what I’m seeing from developers on social media.
I suspect if anything the administration would be happy to let people use this as yet another hammer in their culture war against such people existing.
That’s why.