I was reading through the article and I think the policy in question is this

Transplant guidelines in Ontario and much of Canada require patients with ALD to first qualify for a deceased donor liver. If they don't meet that criteria, they aren't considered for a living liver transplant, even if one is available.

Also this

"The sicker someone is, the more they benefit from getting an entire liver from a deceased donor, as opposed to part of the liver from a living donor," said Dr. Saumya Jayakumar, a liver specialist in Edmonton and an Associate Professor in the Faculty of Medicine & Dentistry at the University of Alberta.

"On the off chance their (living) liver doesn't work, they urgently get listed for a deceased donor," said Jayakumar. "We need to make sure that everyone who is a candidate for a living donor is also a candidate for a donor graft as well, " she added.

As for why that is, I'm not familiar. I've asked someone else and I'll edit in more if I learn more