^^^^ Given all we actually saw in TATV was a 100% Holodeck recreation; it wouldn't matter what they showed -- as we NEVER 'saw' the actual events during the actual time period they were tp have occured in (2161). TATV is best explained away as: "It was something referenced by Deanna Troi; and for all we know she FAILED her pre-Federation history courses at the academy.
Not that they ever will outside of novels, but they can still undo TATV. As a little bonus for those who stick around after the credits at the end of the next movie. Fade in on Captain Riker in his ready room on the USS Titan. Door chimes. Troi comes in. "Remember that holodeck simulation we played years ago, where Trip Tucker died on the first Enteprise?" she asks. Riker nods. "Well... I don't think it was entirely accurate." Troi steps aside, revealing a dishevelled, stubbly, muddy Trip standing in the doorway. "Huh." Riker replies. *fadeout* (very small part of Trek fanbase jumps for joy)
So I'm sitting here wondering if this canon correction would make it worth having to see Riker in my most anticipated movie ever and I honestly don't know.