Based on the article's description, that wouldn't really fit the definition of "getting rid of sleep", as this "half sleep" severely impairs the brain functionality.

It does make sense in the context of a somewhat hostile environment, where constant awareness is required, but it wouldn't benefit humans as much.

The GP didn't mention humans. Also, the ability to be aware of your surroundings 24/7 pretty much fits the description of "no sleep" to me.

No, it does not. These animals fully wake up when they actually have to act.

So they are sometimes fully awake, and sometimes partially. They are never fully asleep. So they don't sleep.