If you can give details about those 3 and their reasons, perhaps you have a slight chance of convincing others that people have valid reasons for suicide other than depression. But EVERY case I've ever heard/seen (and maybe my sample is too small to be reflective of reality) points to depression as the leading and possibly only cause. There may have been root causes of that depression that were hell on earth, but the "but for" test still says depression was the direct cause of suicide in every case I've ever seen/read about/etc.

While I don't know any personally, I know people who know others who had living hell (eg. rape by father, impregnated, abortion). Those people got support, were able to fight back, and regained their lives. What made them different from others was the depression factor, and it's easy to conclude that the support others gave to help them stand up again prevented depression from taking hold.

You're making a very difficult-to-believe claim (for me for sure, and probably for others, given your downvotes) that depression had no factors in those 3 suicides, and an additional difficult-to-believe claim that it's not reasonable to conclude that depression is a leading factor in suicide in general.

Some details would be appreciated if you're going to make such difficult-to-believe claims.

edit: And if you would make the clarification again that you never claimed that depression wasn't a leading cause, just that it's not necessarily a factor, I don't see how that's a profitable statement. People have to make decisions and judgments all the time with incomplete information. Until the picture is 100% known here, it is logical to conclude what the numbers say: depression was a factor, if not the leading factor.