I've updated the original post with a new version. I got some feedback elsewhere and have fixed a few issues in the processing.
My main problem was using the AutomaticBackgroundExtractor in the old version. It wrecked things more than I realised at the time.
This time I did not bother with any background extraction, but I used MultiLinearTransformation on a DrizzleIntegration image instead to help with the noise - plus a crop on the left to remove the horrible noise in the bottom left.
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