Edit: I re-read your comment, and I think I was responding to what I thought you said, not what you were actually saying, so I'm rewriting my response.
You're right that suffering is an essential and inevitable part of life. We shouldn't erase the suffering that informs people's identities just because it makes us uncomfortable.
The amount of suffering in life varies from person to person and moment to moment, and can be influenced to some degree. For some (but not all) suicidal people, it is possible to make changes (different life situation, therapy, better connections, removal of stressors) to reduce suffering to a bearable level so that they want to keep on living and are no longer suicidal.
You're right that suffering is an essential and inevitable part of life. We shouldn't erase the suffering that informs people's identities just because it makes us uncomfortable.
The amount of suffering in life varies from person to person and moment to moment, and can be influenced to some degree. For some (but not all) suicidal people, it is possible to make changes (different life situation, therapy, better connections, removal of stressors) to reduce suffering to a bearable level so that they want to keep on living and are no longer suicidal.