Does TestU01 ensure that a PRNG is cryptographically safe?

I was reading O'Neill's paper on the family of Permuted Congruential Generators and she states that LCGs with 88-bit input state pass the stringent BigCrush battery of tests of TestU01. My question is, if these LCGs pass BigCrush, why are they not suitable for cryptography? In general, can we say that any pseudorandom number generator that passes BigCrush is suitable for cryptography or not?