I don't believe it would be safe to deny the testing.
I guess my reasoning is more on the line of why do we need to do the "official glucose testing" if we have a monitor at home..and can check ourselves?
I am not diabetic nor have I had gestational diabetes before. I have, however, been blown off for diabetes testing during a pregnancy. Then when I was given the test, the dr said all was fine , that I was NOT GD