One Deleted Scene is brief but references Zefram Cochrane being the origin of the famous Trek narration, making this an ENT reference. One of two in the movie(the other being the U.S.S. Archer sent as part of the fleet to meet up with the Enterprise-E before the Battle of the Bassen Rift).
Even without the ENT reference - and why would anyone not want their prequel show legitimized by Picard?! – it was a callback to FC. It made no sense to cut that line.
And there’s supposedly 50 minutes of deleted footage out there. Hilarious they cut all of that that to have a shorter film, considering how long films are now. It would be a 2 hour 40 minute watch with the extra footage.