As they say, different strokes for different folks.
Here’s the skinny…
The three point is a very basic design that utilizes varying saddle heights to match the curvature or radius of the neck, with the logic that no individual string height adjustments need to be made, so no grub screws to fiddle with. Just raise or lower the bridge as needed using the three mounting screws. It works very effectively and efficiently on its intended bass. It would be a horrible design to try and use as an aftermarket option on other basses with a different neck radius.*
It’s biggest functional downfall is the non captive intonation screw and saddle assembly. If you remove the strings and for some reason turn your bass over, all the saddles and intonation screws will fall out. They have to be reinstalled in the right order to work properly, fortunately each one is numbered. There’s also the chance that the large rear body anchors the bridge screws into can pull out. That’s very very rare on Gibson models but more common on Epiphone models, mostly because the anchors on the Eppi are poorly designed with vertical splines that don’t grip the wood very well in the up/down direction.
I have the Hipshot bridge and it works great. But instead of three screws to set the height it has eight (two per saddle). It does have the additional feature of string spacing if you need it, that’s another four screws. So you get to fiddle with 12 screws instead of 3 and when you’re done you don’t end up any better off than if you used the three point. That “upgrade” will cost you over $100. It suffers from the same anchor pull out potential that the three point does because the pull out is a function of how well the anchor grips the body and isn’t really related much to the type of bridge used. The only other issue it has is more aesthetic than anything else - the bridge is wider than the center body block of most Tbirds (except the Goth) so it will hang over a bit on each side and may look odd to some OCD people like me. That said, it’s my favorite bridge for the Goth, the black satin finish and simple organic shape look better on the Goth than the complex shape and black gloss finish of the three point.
*the Eppi two piece bridge is my favorite and improves on the three point design by eliminating one of the three screws and using captive intonation screws. Plus it’s a clear nod to original Tbird design without the intonation issues of the original.