Not sure if I agree with this.
If you're talking about natural consequences, then fair enough. Kids do, of course, have to learn to deal with the natural consequences of their actions, and as parents, we sometimes need to help by pointing out those consequences.
If you're talking about punishment, though, which often seems to be what people mean by "consequences", I don't actually think that this works at all. In many cases, I think it actually has the opposite effect because it makes the relationship far more adversarial than it needs to be.
Personally, I think parenting teenagers is all about investing in the quality of the overall relationship and recognising that they aren't young children any more. Treating them with respect and consideration teaches them to show respect and consideration to others. Communicating openly and honestly without laying down the law helps them to genuinely see other points of view. If they value the relationship and consider you to be a reasonable human being, then in the vast majority of cases, they will actually care that you're upset and try to do something about it.
I'm basing this not only on my own experience with my 17yo dd but on my previous experience of being in pseudo-parental relationships with numerous teenagers through my previous work in a residential setting. If you try to assert your authority and punish them, they will push back as hard as they possibly can. If you reason and negotiate with them, they will generally be reasonable in their response. If you treat them with respect and consideration, they will generally give it back. It is the quality of the underlying relationship that matters... they need to understand that they don't need to go into battle with you because you are on their team.