Why are you assuming PADI invented that exercise? PADI began operation when NAUI was near bankruptcy and canceled a major instructor training program scheduled for Chicago because they wanted to concentrate their efforts in California. The Chicago NAUI group became PADI and used the same instruction they had been using as a branch of NAUI. I am pretty sure all the major agencies used pretty much the same instructional techniques.It drove me nuts. With the 16 pounds of weights the instructor gave me lying on the bottom was easy, but when I inhaled all of me went up and when I exhaled all of me went down. The idea of pivoting on the fin tips made no sense to me even as a student. I eventually muddled through it somehow, but some of my classmates required ankle weights.
It was pretty much the only issue I had with the class, but it was big. We spent more time on it than any other skill and it was the only one I couldn't do "properly". I have to say that it left me with a distrust of PADI that has never quite gone away.
Do you know how it became part of the course in the first place? Were early divers all foot heavy and thus the fin pivot was inevitable if you were only using breath control to get off the bottom? I guess it's possible with a doublehose reg which positions the steel tank fairly low, weight belt and rubber fins.
The group I assembled to write the article on neutral buoyancy OW instruction included dive historian Sam Miller, and he was tasked with finding out how instructing on the knees (etc.) started. He learned it was there from the start because there was nothing other than the lungs available for buoyancy control--they didn't even have wetsuits at first. Some of the exercises in scuba are holdovers from an era before the invention of the BCD.
BTW, 16 pounds is way too heavy for pool training. It is the product of on-the-knees training. The students must be overweighted so they can stay comfortably anchored to the floor. What enables them to be comfortable on the knees makes buoyancy exercises very hard because of all the extra air in the BCD.