I would have cut the handle flat and glued on a new one starting with a couple of 1/8" strips, with good glue and feathering into the fades these never pop off.
I like your fix though, you gotta' do what you gotta' do to save a potential bow.
Here is my most radical handle save, great osage but a swirl in the split eliminated about of a third of what would be the handle. I made a BBO out of the stave to help hold the added wood together. The fix was about 10 years ago and the bow is still shooting as far as I know.
The bow was found in an archery shop in Chattanooga a few years back, a guy sent me a picture when he saw my name on it,