For a moment I thought W.C. had made an error but after discography searching I found that Elvis did in fact cover,"For Lovin' Me".
It was recorded in Nashville in March of 1971 and was later put out on an RCA lp simply titled "Elvis" in July of 1973. Good catch W.C.!!
Maybe Gordon is aware of it but maybe not. Besides,by 1971,"a lot" of folks had covered that song.
http://www.sergent.com.au/elvis/1973.html#ELVIS