I know it has been quite some time and there have been many great entries. But there hasn’t been any closure or winner design, so I decided to give it a try.
I did a rather conservative approach, I tried not to change too much. I concentrated on the points that Jeremy has indicated in OP (except for the dip in the back, I left that unchanged) and adjusted minor other points (removed some redundant nodes, smoothed some corners).
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Here’s an attempt at a visual diff, old version in red, new in blue, overlap in black: