I don't think it is absolutely necessary to tell your pdoc and therapist every single thing. If you were in imminent danger, then I would retract that. If not, you can choose what to share, and that is okay.

After years of getting treated, I have the following approach. I ask myself, what do I expect to get out of sharing this or that? Then I select what I talk about based on that.

I found a day psych program very helpful for me. I'm sorry if your experience was not so good. Two years ago, I did go in-patient, and that was a bad experience that I would not volunteer for again.

You should be able to discuss having suicidal ideation without getting immediately locked up, if you are clear that you do not mean to harm yourself in the near future. Some providers of psych care do over-react. Sometimes you need to change providers a few times to find someone you connect with in a productive way. I hope you can talk candidly to your care providers and come up with a plan that is reasonable to keep you safe, but respect your autonomy.