As someone who's been there, for most people it's transient and/or a call for help. If someone really wants to kill themselves, they will. These steps are for those who fail to control a momentary intrusive thought.

It's also worth noting that an overdose on paracetamol or ibuprofen is an awful way to go. It likely won't kill you quickly. You'll recover initially, but die to liver failure. This can take weeks in hospital. Imagine the horror of watching a teenage daughter die slowly over 2 weeks. She doesn't want to die, she never intended to. She just wanted mum and dad to pay attention to her about the bullying at school.