I disagree suicide's primay driver is having lost the sense of purpose and your identity taken away from you !

Okay. Can you think of some groups which have a low sense of agency/few options, yet have a high suicide rate because of their lack of purpose and identity?

I'm looking for evidence against this theory, so I'm very interested if you can find it. But I think it's going to be hard, because they're going to be correlated: if you have a weak sense of self and purpose, then very likely your options will all seem bad too. And even if you have a strong sense of who you are and what your purpose is, failing to live up to the identity society and yourself assign to you (because all the options you have fail at living up to it) then you could well call that "having your identity taken away from your".

Opinions are great and all but do you have actual data to back it up ?