The announcement had received 840 comments in nine hours.
The family had hoped the UK treatment would fight the cancer long enough for Chace to have a second bone marrow transplant, his best chance of survival.
"There is no chance of another transplant," Mrs Topperwien told the Herald earlier this month.
"It would be doomed to failure since he has too much leukaemic cells."
Though there was nothing more medically that could be done for Chace, the couple used alternative medicines which they said had boosted the youngster's energy.
Mr and Mrs Topperwien put their professional lives on hold when Chace was diagnosed, and said they were glad to be spending each day with their boy.
"I'm sure one day we will look back on it and be glad we literally travelled to the ends of the earth for Chace.
"It didn't work, but we tried everything and that's all we have the power to do, try."
For more information on bone marrow donation visit bonemarrow.org.nz