In the article, the family of the patient cited that his alcoholism was secondary to his depression - a symptom of the bigger thing he was suffering from. The article goes to lengths though (see: title) to put the focus on “an alcoholic was euthanized.”
The brother’s relevant quote:
> "My brother suffered from depression and anxiety and tried to 'cure' it with alcohol. He's from a normal family, he did not want this to happen. He did not take an easy way out. Just a humane one.
> "If that's troubling for Mrs Bruce that's a pity. I am just glad my brother did not have to jump in front of a train or live a few more years in agony before dying of his abuse.
I can’t tell you for sure what is fact, but I’m inclined to take the more rational explanation of the family over the irrational “this was an alcoholic choosing death over rehab.”