I think, PresidentSmith609, that it is the other way around - Max is in Vecna's mind (along with all the other people who he "consumed") rather than t he other way around. Remember, when Vecna was talking to Eleven in the Rainbow Room, he told her "they are not really dead - they are here" (indicating his head). And several other quotes by other characters (such as Dr. Brenner) indicate that Vecna absorbs the consciousness, powers, thoughts and memories of his victims. So Max is alive but IN VECNA's mind.
@PresidentSmith609