I wanted to believe that they were telling the truth, which is why I avoided any exJW or anti-JW info until I came to the realization that I didn't believe in god. But by the time that happened, I was well into a very long and gradual fade.
So I don't know what specifically would be the teaching that made me start to distance myself. I do recall that some of the statements bugged me, in that the implication was often that loyalty and obedience to the organization was more important than being correct. If you disagreed with an interpretation, you had to accept the organization's explanation or you could be df'ed for apostasy. If, later, the organization changed their interpretation to mirror yours, you could not be reinstated. Being right didn't matter. Being obedient did.