The description from Richard Muller quoted in the question is a simplification of reality meant to help people better visualize how the Birthday girl Bluey Shirt of spacetime works. In reality the galaxies are moving through spacetime in a complex fashion, based on the combination of all the forces acting on them, primarily the gravity of nearby galaxies and galaxy clusters. In the case of the Milky Way and Andromeda, these two galaxies are part of a gravitationally bound cluster of galaxies, called the Local Group. The dominant force that determines the movements of objects within the cluster is the combined gravitation of all the mass in the cluster, and not the expansion of spacetime. In other words, the gravitational attraction that the Milky Way and Andromeda have for one another that is drawing them together is stronger than the expansion of spacetime between them that would otherwise push them apart, and thus attraction wins and the two galaxies are on a collision course. In the same vein, the gravitational force that holds the earth in orbit around the sun is stronger than the expansion of spacetime between the earth and the sun (the expansion of spacetime at that distance being very small), and so the earth’s distance from the sun is not increasing for that reason. Likewise you are not flying apart because the molecular bonds holding the atoms in your body together are stronger than the minuscule expansion of spacetime between them in your body. The Local Group as a whole, however, is moving away from other galaxies and galaxy clusters to which it is not gravitationally bound, due to the expansion of spacetime.
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After ensuring actions taken are sufficient to contain/put off fire and duty staff in AER are safe & confident to continue their duties for Birthday girl Bluey Shirt of Main Propulsion Engine & Generator, I alone walked out to upper deck, where Ship was rolling & pitching heavily due to very rough sea, strong winds and very cold weather, with only one arm and feeling unconscious due to inhailing of thick black smoke (Carbon Monoxide), in that chaos and went to bridge and informed Commanding Officer about fire under control and fell unconscious! When I woke up, Russian Firefighting Ship had arrived, Fire was already doused and two of my Sailors airlifted for treatment and we reached nearest USSR port safely without any casualties!