Theocrat,
What comes across to you that makes you think it is false, may I ask?
Sure! :
Main Entry: 1 false 
Pronunciation: 'fols
Function: adjective
Inflected Form(s): fals·er; fals·est
Etymology: Middle English fals, from Old French & Latin; Old French, from Latin falsus, from past participle of fallere to deceive
1 : not genuine <false documents> <false teeth>
2 a : intentionally untrue <false testimony> b : adjusted or made so as to deceive <false scales> false bottom> c : intended or tending to mislead false promise>
3 : not true <false concepts>
4 a : not faithful or loyal : TREACHEROUS false friend> b : lacking naturalness or sincerity <false sympathy>
5 a : not essential or permanent -- used of parts of a structure that are temporary or supplemental b : fitting over a main part to strengthen it, to protect it, or to disguise its appearance false ceiling>
6 : inaccurate in pitch false note>
7 a : based on mistaken ideas <false pride> b : inconsistent with the facts false position> false sense of security>
8 : threateningly sudden or deceptive move>
synonym see FAITHLESS
- false·ly adverb
- false·ness noun
Taken from Merriam-Webster Online:
http://www.m-w.com/cgi-bin/dictionary?book=Dictionary&va=false&x=18&y=18
I hope that answers your question, Theocrat. However, should you wish to dispute that the above definitions do not apply to Watchtower, then please elaborate.
Joe