Body Recomposition vs. Bulk/Cutting Phases

Hey everyone - I've always thought that in order to achieve my fitness goals, I'd need to choose to either:

1) Lose fat while minimizing muscle loss i.e. cut phase OR
2) Build muscle while minimizing fat gain i.e. bulk phase

During the cut phase, I'd need to be in a caloric deficit and in a bulk I'd want a caloric surplus.

I've recently read some articles on body recomposition in which you add muscle and lose fat at the same time. Basically, you are in a caloric surplus on weight lifting days and a deficit on rest/cardio days to achieve this.

My question is whether or not this actually works. Has anybody tried this and had success? What are the pros and cons of both methods (recomp vs. bulk/cut phases)?

Thanks in advance for your help!