Fun fact: Torx screwdrivers are compatible with Torx Plus screws, but Trox Plus screwdrivers are only compatible with Torx screws that are one size larger
Torx are superior to all other types. I've been a carpenter for roughly three decades, and have suffered through all manner of fastening methods that have come and gone. None of them can hold a candle to Torx. I've never seen another type that can resist stripping out so well and for so long.
How do you feel about square drive? I'm no carpenter, just someone that's done enough work around the house, but I've found that Torx are the best option but square is a close second (but I don't think I've used them in any especially high torque situations, and they may fall short there).
So square is a close second in terms of quality, while being vastly simpler and cheaper to manufacture. Seems to me like i'd prefer square.
Also i'd be terrified of getting dirt in a torx screw, good luck cleaning it to make it usable again. Though i haven't actually had this problem personally so it's just a hunch
I have torx all over my mountain bike that gets caked in dirt, a little bit of water and a pick gets them usable in seconds.
I could argue that hex is superior to square but they're both worse than torx so who really cares.
Torx, hex, and square/Robertson all require broaching, generally with a rotary broach. The manufacturing process is basically identical, though the manufacturing of the machine tools varies slightly.
Torx should be the default over Phillips for sure. Phillips is fine for shit like access panels or screw terminals. Slotted is useless for anything but the adjustment on pots and thermostats. Robertson is just a proto-torx. Everything else either exists to make someone money or is a bolt
robertsons are tapered, so unless you get a proper positive lock, or they have dirt in them or something, they're more liable to stripping out. But other than that, they're great.