It didn't say fake, it said false.
false adjective, fals‧er, fals‧est, adverb
–adjective
4. tending to deceive or mislead; deceptive: a false impression.
Main Entry: FALSE
Part of Speech: adjective 1
Definition: wrong
Synonyms: apocryphal, beguiling, bogus, casuistic, concocted, cooked-up, counterfactual, deceitful, deceiving, delusive, dishonest, distorted, erroneous, ersatz,
fake, fallacious, fanciful, faulty, fictitious, fishy, fraudulent, illusive, imaginary, improper, inaccurate, incorrect, inexact, invalid, lying, mendacious, misleading, misrepresentative, mistaken, phony, sham, sophistical, specious, spurious, trumped up, unfounded, unreal, unsound, untrue, untruthful
Antonyms: accurate, correct, factual, precise, right, true, valid