It looks like it could be Kailh PG1593 series.
Azio retro range keyboards have a variant with translucent slider and upper housing. Their keycap mount looks the same. The pinout looks similar to other Kailh switches with centred LED.
Is there no marking on the switch housing?
OK, so gathering by that link (and the Anandtech article it links to), they're called "Typelit" switches, and are likely heavily inspired by Omron's Romer G switches. And it seems like it may have actually been made specially for this gaudy Azio thing. It's kind of ironic that a switch with such a modern feature as full top-to-bottom backlighting only exists for the sake of a "retro" board, to mimic a board from a time when LED backlighting wasn't even possible.
Well, I find that disappointing all round, but thanks for helping to solve the mystery!
BTW, there's no marking on the switch other than "Kaihl" on the top, and a single "F" on the bottom.