Nice one, Neil. Elegant or not, if it does the job then that's fine. It's the result that matters.
I managed to reduce the cutter shank as I outlined above and the resulting profile looks like this, the original on the right and modified profile on the left :

I wasn't able to replicate the production tansition slope with the setup I had, though with a bit of fiddling and changing angles, I could probably get it a lot closer.
Graham – you should be able to see from this shot that the teeth are staggered, so it really is a tee slot cutter!
After applying all the advice given, to a greater or lesser extent, I've finished the tee slot and am pleased with the result. Thanks to all who contributed. I have to say, tee slot cutting is not my most favourite procedure and I will try to avoid it in future designs.
John