Your predictions had had quite an influence, but indeed, according to more recent, and more complicated, models, the end result is essentially a coin toss, because Magellanic Clouds and the Triangulum Galaxy also should be taken into consideration. Still, your work, and similar ones, left a marked effect on the fields of science fiction and space opera.
https://medium.com/@loadeddice/massless-effect-inhibitory-phase-be29f65932e0