I build performance transmissions...
As a part of building transmissions for performance usage, weight (particularly rotating weight) is of interest to me so I have weighed all these parts and transmissions that are "SO HUGE" , "VERY HEAVY", and "CONSUME XX Horsepower".
I find it humorous how big the claims are and how people use internet claims to base their "facts" on.
My suggestion to you is to weigh a 4L80E and a 200-4R, do a TH350, TH400, and 700-R4 while you are at it and then report back with what you find.
However,
Get your scale checked first...