Maybe just ask a general question...like "If I talked to you about specific suicidal thoughts, how would you react?" "Where is the line drawn for hospitalization?"
My T asks me every session to rate my SI thoughts (1-10), my suicidal thoughts (1-10), if I'm going to okay the next week, if I'm going to SI. Last week, I answered her "maybe, idk" for if I was going to SI. Her response: "You know, most people who hospitalize you for that type of answer". My response: "I know that you can't hospitalize me for SI alone". Her response: "/sigh". LOL.
But me and her made a deal. She can hospitalize me involuntarily when I give up. Basically that means if I have a breakdown and she can't help me get out of it, if I stop communicating, or if I don't even have the strength to fight her over hospitalization. At that point, I belong in the hospital. Otherwise, I've suffered from suicidal ideation every single day for over 18 years...I'm still here. Thoughts alone aren't enough for hospitalization.