Haha...my threads up adjusters bridge (above) is still straight and fine after 45 years! I've always had threads up on my basses so that's what I'm used to.
I have always installed them threads up, and I do believe there are plenty of good reasons to do it that way. I think, however, that fully describing the reasons would be an onerous task, only of serious interest to a limited number of people, and also "poking a dead horse with a can of worms". So, here's just one reason:
Once you install the adjusters threads down, you have committed to a fixed, non-flexible relationship between the bridge feet, the adjusters, and the top of the bass. The only way to adjust the angle of the bridge is to re-cut the feet. Of course this can be done, but it takes time and is fussy. In contrast, with the threads up and a tiny bit of "play" in the (non-threaded) foot and adjuster relationship, the angle of the bridge is easily adjusted by changing the angle on the top of the foot.
All of the above describes when the bridge is first fitted. Over time, the bass top can change shape and then your bridge will shift from perpendicular. I see many basses that are played for years with a non-perpendicular bridge because of the fixed, non-flexible (threads down) method. Yes, you can adjust this, but only by re-cutting the bridge feet (if there's enough wood left to re-cut).
Disclaimer: This is not an attempt to open said can of worms. I don't have enough time to engage on a picayune discussion of this subject, and will 100% defer to people's right to make their own decisions (including making the wrong decisions!).