I can see how they could un-Disco her if only slightly. The smoother '60s hull surface, non-glow-y nacelles, and thicker nacelle pylons? Ablative armor. Taller dorsal "neck"? Goes with the new saucer separation feature (though never previously shown on screen, this was supposedly a capability the TOS-E was planned to have but which, of course, TOS never had the budget for.)
As for Control re: a Borg tie-in -- I think there could be a tie-in, but not in the form of a Borg origin story. Fan theory: Control was built on scavenged Borg tech from the Enterprise episode "Regeneration." Other than some frozen drones, there was plenty of other wreckage there for Section 31 to scavenge and play with. If they built Control based on and even minimally incorporating salvaged Borg tech, then Control is following directives from its latent Borg "firmware" but using slightly different methods. So it's not originating the Borg so much as recreating the Borg, a progression that's resulting in similar but not identical nanoprobes and "drones."
Of course, that held until this last episode where they ripped off Terminator: Genisys.