Thoughts of suicide are almost certainly not triggered as a way of regaining status unless they're thought of by a person whose culture encourages that course of action, or for some other reason already thought of suicide that way before an actual embarrassment happened. Your subsequent thoughts may be about the status of suicide, and those subsequent thoughts may reinforce the initial thought, but the initial thought being first triggered as a status mechanism seems far-fetched.
Do you feel a sense of pressure, not necessarily of anxiety, when an embarrassment happens?
I sometimes have thoughts of suicide. That does not mean I would ever come within a mile of committing the act of suicide. But my brain does simulate it; though I do try to always reduce such thoughts.
But what I have noticed is that 'suicide' is triggered in my mind whenever I think of some embarrassing event, real or imagined. Or an event in which I'm obviously a low-status actor. This leads me to think that suicide might be a high-status move, in the sense that its goal is to recover status after some event which caused a big drop in status. Consider the following instances when suicide is often considered: