You forgot yo mention that body recomp aka the phenomenon of losing fat and building muscle at the same time is only possible if you fall in these three groups:

1) Overweight & untrained individuals; 2) Detrained individuals; 3) Individuals on PEDs.

And while well-trained individuals can gain muscle mass and lose fat simultaneously too, either fat loss or muscle gain is so negligible that it is probably a bad idea and just not worth the time.

So unless you are an overweight/untrained or a detrained individual, or on the special sauce it’s much more productive and realistic for you to focus on one goal at a time—you either bulk and build muscle or cut and lose fat