I'm a little confused as to why you chose a radius of 6000 light years. Doesn't the YEC viewpoint not necessarily preclude the possibility of stars being created in situ at arbitrarily large distances from Earth?
Certainly it does not preclude that. Each YEC has some level of God's lying that they are able to bear, and almost all of them can't accept that particular lie. So they try for arbitray changes in the speed of light or white holes and time dilation or some other scenario that also involves God lying to us ... but lying in a way that the particular YEC finds acceptable.
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