IMO, it depends on your metabolism.
I have a fast metabolism. I can cut super fast, but *clean* bulk very slow. Sure i can eat anything and put on fat, but nobody wants that. This is where the OPs strategy comes in hand. For those who are like me, dirty bulk for 2 months or so, then cut for 2-3 weeks then start over. Ive done this a few times.
Another benefit that it gives (other than body composition) is endurance. Typically, when we cut, we increase our amount of cardio we do (at least I do). If we do heavy cardio during our cutting weeks, it will increase our endurance overall. This will/should (broscience at its finest!) carry over to training with weights. Higher endurance = more reps = strength increase = ....etc
It may sound like broscience (which i can see why 100%), but it has worked for me many times. I usually do this right before I enter my full cutting phase to add a few pounds of LBM with minimal fat so my cutting phase is that much easier (then i recomp in the summer).
Hope this helps.