I dont know what the 370's throw is like, but I found the my 350's short enough, especially when I combined it with a Nismo knob.
I did have a short shifter fitted for about 2 days as a trial for BigPhil. I hated it, and had it taken out.
I had one fitted to my RX8, infact I think I had same one as you George, and I loved it in that. Just not in the Zed.