One of the problems with Wilsonian Armenia is that the DRA never really controlled that area, and basically decided to neither really officially back the claims, nor the deny them, hoping to be able to use it as a leverage for negotiations with Turkey. But of course the main reason they didn't control it they lacked the resources to take control over it. Some of the territory was dominated by Armenian militias, but not all of it. The DRA was preoccupied with their northern frontier to even consider claims in the south, with hostile relations with Azerbaijan, cold relations with Georgia and bad relations with various Russian factions, reds within the Caucasus etc.
Turkey and the Red Army both closing in were inevitable, and if the Turks had been to weak to move, the Reds would have taken all they could get (But the Entente might gulf up Wilsonian Armenia, and the Kurds might also have taken a slice before the Reds get there).