The proper answer to this is rather elaborate, and I haven't the time to give you the lecture. You are correct in your assumption that drugs such as LSD are, for the most part, do not have a direct correlation between body weight and subjective effects.
Weight alone, however is not the sole determinate of general anesthetics.....this mistake has been made by many physicians (particularly in the elective surgery realm, where cosmetic surgeons try to play dual roles, or cut cost by hiring an anesthetist's assistant rather than the anesthetist himself). Higher end cosmetic surgeons almost always use anesthetists, but at the low end (for which there is a huge, gritty market), you are going to run far more "complications from surgery" deaths (the term can mean a number of things, including OD from improperly dosed or administered anesthetics). Yes, weight is a certain a factor, but age, gender, comorbs, baseline vitals etc etc etc....the list goes on......