770 is a moisture curing material. It reacts with atmospheric moisture to chemically cross-link (cure). Almost all chemical reactions are accelerated by heat. Degree of cure (completion of the reaction) depends on time and temperature and rarely reaches 100%. You will almost always achieve a higher degree at higher temperatures than can be achieved at lower temperatures, regardless of time. Any reactive groups left in the release coat can potentially react with the resin that you are molding, which results in adhesion.
Curing the release at 60-80C would certainly help but may not be absolutely necessary. However, almost all release problems occur on the first molding cycle after a mold has been coated for the first time. So the first-time treatment of a mold should be five applications of mold release and then one temperature cycle up to the cure temperature that will be used in production. Keep in mind that autoclaves are pressurized with compressed air or nitrogen, which is very dry.