And for anyone else who runs into this, I also now know the same thing can be done with the Track Matte effect in Premiere, then references the Video Track that the Alpha Video is on. Hooray.
Thanks so much Brendan! I got it to work, but for some reason not by setting the Alpha Video to an Alpha Matte. For some reason that made everything black. What did work (and I don’t really understand why) was setting the Alpha Video to a Luma Matte. Thanks again!