A brief look at the other side...
As ugly as they are compared to an expertly carved adjustable wooden double bass bridge, if installed as designed the oft derided Deuce bridge does successfully resist tipping over, but they actually can be caused to tilt enough to raise most of the treble foot off the table. I've seen this happen once with my Deuce bridge while breaking in new strings, was of course quite surprised and hustled to straighten it, and now keep an eye on that treble foot. So with that experience I can reliably say that my Alcoa tends to tilt my Deuce bridge northward...
Also perhaps of interest, some double bass strings are both low-tension enough and smooth enough that they do not apply sufficient friction or tension to the top of the bridge to
prevent it from tilting. I've seen this happen with some very smooth wackers.
It's worth mentioning, a conventional wooden double bass bridge with installed adjusters could also have one foot (most likely this would be the bass side foot) pointing cattywampus north and south in contrast to the other foot. I've never seen this done but there isn't much preventing it being intentionally installed that way. This would probably help resist having a bridge flip, but the big question in my mind is whether the thickness of the rest of the bridge leg involved in this change would be sufficient to withstand splitting because of tilting tension on the internal adjuster post; in the case of the Deuce bridge that part of the bridge is thick aluminum and the adjuster post is a 1/4" bolt shaft, so everything is beefier.
I also play banjo and mandolin, both which also have "floating" bridges. Bridges on both instruments can also end up tilting and even eventually flipping. The mandolin bridge is also often fitted with adjusters, which while making it handy for action adjustments can also affect tone and volume. Adjusters on mandolin bridges also tend to allow the bridge top (called the saddle on guitars and mandolins) to tilt more. Manual adjustments, frequently required, are affectionately called "burping the bridge" by mandolin players. Four and five string banjos tend to have nonadjustable (often also laminated one, two or more piece) bridges, sometimes with a middle, perpendicular, keyed ebony foot that prevents the bridge from tilting.