This means this muscle-up variation is essentially just a pull movement and can be performed on your pull day!
The hardest portion (or the weakest link) in your muscle-up is always going to be the pull-up and transition. Once you are over the bar, the dip is very easy. Therefore there is no need to train this portion.
As the great Louis Simmons says, "You are only as strong as your weakest link".
Being able to just train the hardest portion of the muscle-up will allow you to train more repetitions in the hard portion without fatiguing and will allowing you to strengthen the weakest link better than if you focused on the entire range of the muscle-up.