Yes, "Enemies" was published in 1937.
A companion book is "Religion" and was published in 1940.
These books reveal that Rutherford taught that ALL religion is a snare and a racket.
It seems the terms "false religion" and "true religion" cannot be found in these books.
The term "all religion" is found several times.
http://ia600400.us.archive.org/16/items/EnemiesByJudgeRutherford1937/1937-ENEMIES.pdf