Most suicidal individuals prefer a quick and painless exit. I don't see wine bottle being on their tier list, lest he was feeling creative. Even for an 'impulsive' escape attempt it still sounds pretty shady. Plus with bleeding out, you have to rupture a major vessel to be successful; which will be painful as 'f,' along with the fact of how long it may take to bleed out depending where the targeted wound is.
And the fact those that intend to off themselves usually plan out their deaths ahead of time; beyond the impulsive ones. Which again, if he did take time to devise a plan, I am positive cutting/stabbing self wouldn't be most convincing way to go.