Mugs, this has been covered in numerous other threads...AstroCat's for one.
3 main reasons why not.
1. First and formost the 'event horizon' doesn't work that way... for the event horizon to remain 'stable' there must be a spiraling to down to a 'singularity' scenario. That means that ALL MBH's are cone shaped, so when you look towards the event horizon, you would have to 'pull it back over your head' so to speak, and make it a 'spherical' event horizon...there just ain't no such animal...
2. All of space and the galaxies in them would be heading toward the singularity.
3. The entire space inside would be rotating.
This does however leave one slight possibility...
IF, all of the galaxies are heading toward a "ring singularity" and the galaxies closer to the singularity are traveling faster than we are, and then we are traveling faster than any of the galaxies behind us, THEN we could not tell if the galaxies behind us were receding or getting closer to us.
BUT, again there would be the rotation, AND, the galaxies on the other side of the inward spiral should be blueshifted for us.