I want to preface the following remarks by saying that I am, or at least spent over 35 years, a blood banker in various capacities. I am one of you.
Blood bankers, with good reason, can generally be described as untrusting to the point of paranoia. No one can do the job as well as we can and that includes other blood bankers. I have never known one of us who would willingly trust a sample drawn at another facility. It's hard enough to trust our own phlebotomy staff! I don't even want to get into nurse draws! We are this way because we understand the potential dangers and in all honesty most of this comes from a true concern for patients we never personally see. I had one staff member quit a blood bank day shift to work as a generalist on the night shift because she was convinced that the use of the new automated analyzer would result in the death of all of her patients because she would not personally be doing the testing. Granted that's a little extreme but it is an example.
So to answer the original question of this thread, I am fairly confident you will find little or no support for "using a blood bank sample drawn and tested from another facility".