Good news perhaps. It seems there is a new revision of the GC style replacement stick. The maker of the GC style replacement sticks seems to be
hyperkin.
This seems to be the old version. However, they now have a
new one. This seems to be a revision.
Someone on
Assemblergames got one. The top is now rubber instead of plastic. Furthermore he says the sensitivity is good and there is no big deadzone any longer. On the Hyperkin website they also specificly state: "Works with Goldeneye on N64".
I think I will try to get one, they seem to be going for around 13-15$ including shipping.