Will it be really be fine? If it was girdled all the way around, haven't you effectively cut off the flow of nutrients and water between the upper part of the tree (the air layer) and the main tree? Isn't the air layer fooled into making roots so those roots can supply water up to the leaves? If you knock the roots off (and it is girdled), isn't the top of the tree doomed?
Maybe the answer is different depending on how the branch was prepped (fully girdled, partly girdled, roughed up, no prep at all)???
Jim