A few more screws later, the outer rim of the loop is still attached by a bunch of glue, so there's no recourse but to pry again.

No heat is required, just prying, as the adhesive is mild-to-medium flavored.

Uncovered, the single-cable LED array peels off fairly easily after being disconnected.

All 22 IR LEDs are conveniently labeled, and there's even a barcode. Cross your fingers for Oculus-provided replacement parts!