This is along the line of the pitch rate discussion. As many of us understand it, oxygen is crucial to the reproductive/populating phase of fermentation. But, if your pitch rate is high enough that you don't need many more new (daughter) cells, you may not need it. Oxygen affects more aspects of fermentation than we know. I would use gravity/viability/original pitch rate to make the judgement for each beer.
The more you learn, the more you can rationalize those adjustments in procedure. I've seen experiments in inline fermentation. Also remember with pitch rates, bigger is not always better. You may scrub less hops, have fewer esters than you wanted, or have too little body.
These procedures help make up brewing as an art as well as a science. Try and try and try again. Just remember these small differences can greatly affect your beer.