While I have had some really awesome therapists I've worked with, one I interviewed briefly sent up HUGE red flags around this topic. We were maybe 5 minutes in, and she basically called me a liar, saying she had no reason to trust that anything I was telling her was true. She then proceeded to tell me that I had no reason to trust her, and that she would not trust me if she was in my position. While I have had T's say this in a way to acknowledge the difficulties trusting a stanger with vulnerable information, the way she said it was accusatory... She continued to tell me that she would not believe anything I said until she had access to my previous records. She also told me that if she thought I needed hospitalization, she would not tell me, nor would she work with me around it, but simply lie to me then call the police...
She didn't know me, nor I her, but I knew she'd lie about anything at this point. Certainly not a person I could work with (though, after getting the hell out of her office and being able to breathe again, I totally appreciated her candor about being a ****** therapist).

The T's I chose to work with, I could see maybe avoiding questions/topics, or choosing their words carefully, but not necessarily knowingly lying about something. I've had T's tell me things that were really, REALLY difficult to hear, but they still told me... Oh, I believe one T lied to me about why she terminated me: she said it was agency push, and not her choice. I think she was overwhelmed and out of her element with me, but didn't want to risk me lashing out at her, so she put it off on the agency.