I know that it is not supposed to be expanding but space is space and it is expanding everywhere else outside it so why not inside it too, and gravity just holds everything back.
I suppose if it is, it would be insignificant, on a cosmic scale, for what is 3 MPcs, out of 14.2K, but then again our instruments are so precise now, but then again there are all the other Doppler and gravitational shifts.
The kinematic/velocity time dilation is caused by the motion thru space, or it moving thru U. It's the same, thing. So the out-flowing space would cause time to run a bit slower in our outer regions. And, if space flows out from our local group, wouldn't it also flow out from a black hole!?
And I mean/t the redshift caused by the expansion of space and not the Doppler shift caused by the peculiar velocities, of course.