First off, note that hook turns are a bike thing, not a car thing — trying to imagine it with cars isn’t going to make any sense. They rely on the fact that bikes are small enough that they can fit in the space in front of the stopped opposite-direction cars (which might be a crosswalk, bike box, etc). You just go stop there, turn your bike so it’s pointing the right direction, and wait for the green.

They work even better with dedicated bike infrastructure as depicted in the diagram about half way through this article: https://www.vox.com/2015/8/12/9139771/protected-intersection...

Not a car thing? Welcome to Melbourne, Australia!

https://www.youtube.com/watch?v=Yh92LirlCf8

My wife used to drive in the Melbourne CBD daily for work, but would always go around the block instead of attempting one.

Ok, let's use normal right-sided driving method. Imagine you're vulnerable (on a bike, or worse: on an electric scooter), and you want to turn left. You were going northbound and want to go westbound.

In "normal" fashion, you'd have to stay on the left of your lane, and wait for the traffic coming in front of you to die down before you can cross. That puts you straight in the middle of the intersection for some time, which is dangerous.

With a hook turn, you go and wait along with the traffic coming from the east to the west. They are stopped, so they are not a danger to you. When the east-west traffic light finally turns green, you won't be crossing anyone's traffic, and you'll be already standing on the rightmost part of your new road.

Fairly sure the hook turn isn’t about safety, it’s about traffic flow. If it’s about safety it would be see more usage across the world

It's definitely safer, and it does see quite a bit of usage in areas of the world with high quality cycling infrastructure. The fact that it doesn't see more usage is just a testament to the fact that most urban planners around the world don't care much about keeping cyclists safe.

Its used in denmark Australia etc anywhere with sufficient bike lanes or of the intersection is reallt large

No In Australia it’s for the benefit of the tram https://en.m.wikipedia.org/wiki/Hook_turn the article seems to imply it’s otherwise for traffic flow and 1 country for the benefit of cyclists