They're using the same film (Type 59) but different processes. The emulsion lift requires basically boiling off the emulsion from the print and placing it on another base (usually a watercolor stock). The transfer discards the print and uses the chemistry on the backing paper pressed against another base (again usually watercolor stock, but can be put onto wood, cloth, etc.). Polaroid used to have a good description of these processes on their website, but I haven't checked lately.
Good luck!
S