Torx is just a brand name. They're standardized in ISO, DIN, and JIS at least, almost surely most if not all others. Hexalobular Internal (or real close to that) is what we call "Torx". Hexalobular external never picked up that name in casual use, and I've got no idea if the original "torx" has anything to do with the inverted ("external"?) torx, but you can find "E" sockets, "E-torx" sockets, etc. Like Kleenex, that particular trade name belongs to somebody, but anybody in the world can make a tissue, free and clear. Same with hexolobular (torx) fasteners.
What made them popular initially is they were (about) the first fastener that would sit squarely on the driver while it was put together with specialized production tools on an assembly line. You can load a screw up on a screwdriver, or load a bolt up into a socket, on the production line tooling, and rail 'em home under power. And when you're done, they don't stick at all, so you can release your power tool.
As for kitchen and bath fixtures designed to handle water, which are not resistant to water.... Yeah, I don't know about that.... I think if we (collectively, the US) stopped buying such things, there wouldn't be so many of such things.