Fixed that for you.
Yes, the gearboxes are different (NA cf. turbo). The length of the box and the output spline, obviously.
Yes, the front half of the tailshaft of an R33 or R34 turbo will go into the box. But I changed your quote to say R34, just in case there is a length difference between R33 and R34 tailshafts. You need both the spline and the tailshaft length to match.
It's also why I said cut and shut in my first reply. It may not be strictly necessary in this case because of the possible and likely existence of a tailshaft piece that already suits (from an R34, possibly R33). But when you do this into an R32 you have to cut and shut tailshafts together.