Yes, CLL might seem slower, but there are a few people who claim to average 2.3ish with CLL without one looking. Ram Thakkar has an unrecorded 2.3x official average doing that.
Even if this method is better, it is not the way to get really good at 2x2. This method is essentially 2 look EG, which is slower than one look EG, or in other words the EG method.
With CLL, transitioning to the EG method is easy, as you only need to learn 1 more algset, how to do anti-CLL, and you know how to recognize cases.
With this method, it is a lot harder to transition,and you will have to learn CLL eventually in order to get good at 2x2, so you might as well start learning it instead of this if you want to get fast.
However, the low algorithm count does give this method justice, and it is easy for beginners who don't care about being really good in the long run.