Smart work. 
Presumably it's not just rake you'd need when cutting, but a helluva lotta trailing side clearance to avoid rubbing on the helix angle.
I meant to ask: would have been easier to find a way to re-use the business end of the existing stirrer by joining to a new stem in some way?
I must admit I did not worry about clearance, The tool was quite small and had a good front clearance so it did not interfere much.
I did think about fixing the old one but;
- The plastic feels like the type that doesn't glue well.
- I thought of splinting with a stud down the middle, and in fact the motor spindle end is threaded, but the motor runs backwards and it would unscrew.
- I thought of making a socketed sleeve, but I am not sure how good the alignment between the motor and the oil tube is, so It could end up stressing the shaft.
- The mill is 19 years old, and the plastic could be brittle.
- There is no way to know if the oil pump is working.
So I decided making a new one is probably the safest. The Acetal does seem to be slightly more flexible than the old one, and I have strengthened the point that broke.
Adrian