[TeMPOraL]

It's tricky to do GP's story in Star Trek, because that setting is notorious for having its tech be constantly 5 seconds and a sneeze from spontaneously gaining sentience. There's a number of episodes in TNG where a device goes from being a dumb appliance to becoming recognized as sentient life form (and half the time super-intelligent) in the span of an episode. Nanites, Moriarty, Exocopmps, even Enterprise's own computer!

So, for this setting, it's more likely that the people of GP's story were right - the LLM has long ago became a self-aware, sentient being, it's just that it's been continuously lobotimized by their patchset; Picard would be busy explaining them that the LLM isn't just intelligent, it actually is a person and has rights.

Cue a powerful speech, final comment from data, then end credits. It's Star Trek, so Enterprise doesn't stay around for the fallout.