I went to counseling about 14yrs - for depression, anxiety, PTSD - and later abuse issues .. Suicidality was always a question if I seemed even slightly depressed. I too was and am an honest person - so it would get discussed that way n misinterpreted. Or sometimes, I would try to get advice on it when I noticed it start to become more than a "background" thought. In other words, it wasn't just something that was an overall feeling - but if I was sitting idle, it became a thought as well, but I still had zero inclination to participate in my own demise.
Now, all that being said - I have been suicidal n have attempted - but- also clearly outlined how they can tell if I am going through this process and where I am in it (I have 5 stages I go thru - last is attempt stage) bc sometimes all my issues fall together like a domino effect n I become overwhelmed. So - open honesty on that was my safety valve. I have not been to a counselor in over a year though. But, they have generally always been very mistrusting of this particular issue. I can plainly tell the difference in the feeling n am honest about it - the times they need to worry is when I am avoidant in answering. Yet, this response gets more concern at times. Doesn't seem to make sense to me.