FWIW, I know 2 16+ trucks that re-geared to 3.90s... only to later re-gear to 4.88s. And yes, they paid a shop to do the work both times so it cost them dearly.
So why did they do this? In both cases they were people who spent a lot of time on the highway in heavy trucks ("built" and running 34" tires) while also regularly towing trailers in excess of 4k to 6k lbs. They simply got sick of the trans still hunting (perhaps a byproduct of simply having two more non OD gears with shorter spreads?) at highway speed when they visited the hilly parts of the country. That's not to say the trucks struggled or it was unbearable, but they ultimately decided they rather go slightly over geared for their purposes than slightly under.
For this reason, I caution folks always saying oh the 8spd would be perfect with 3.90s, the 4.88s will be too much. Maybe that statement is true for you, but perhaps not for someone else. It depends on a variety factors and always comes down to personable preference. Heck, I don't doubt there's someone who has also already made the reverse decision and went down numerically after finding they didn't like so much gear. I just cringe when the forum gets so axiomatic about decisions, especially if folks don't have direct experience they can relay. It's okay for it not to be a black/white decision.