Apparently, Bourdain did take his own life. “19 Times He Publicly Referenced Suicide” — all listed in this article.
Anthony Bourdain’s Girlfriend Posts “Heart-Wrenching” Story That Lists The 19 Times He Publicly Referenced Suicide
Asia Argento, the girlfriend of the late Anthony Bourdain, has tweeted out a “heart-wrenching” PDF file that details all of the time Bourdain referenced suicide publicly. In total, there were 19 instances from the year 2000 to the year 2017 where Bourdain made a public comment about suicide, particularly hanging himself, or hanging himself in the shower.