  We prove a lower bound on the ribbon distance via Bar-Natan Homology. This
lower bound agrees with Alishahi's lower bound on the unknotting number via
Bar-Natan Homology, which furthers a pattern first observed by Sarkar: Sarkar's
lower bound on the ribbon distance via Lee Homology agreed with Alishahi and
Dowlin's lower bound on the unknotting number via Lee Homology. We also prove a
lower bound on the ribbon distance via $\alpha$-homology, a variant of Khovanov
homology defined recently by Khovanov and Robert.
