What do you think explains redshift variability best?
Actually, if you look at modern physics, it is suggested that the modern universe is actually increasing it's rate of expansion. Not slowing down.
Redshift variability can be due to a few things. Gravitational pull among the galaxies being the main factor. For example, the Milky Way Galaxy is one of the largest galaxies we know, and we actually witness a blueshift (it is coming toward us) in a few of our smaller, neighboring galaxies. This is not because they are coming at us, but because the milky way has a certain gravitational pull over them).
This can happen in many systems of galaxies, causing redshift variation.
That being said, look at Edwin Hubble's research, you'll see that the universe is moving very uniformly.