Let's just say I'm a bit skeptical. I would guess that work of breathing as a component of a total workload significant enough to increase nitrogen absorption is pretty insignificant, especially in "contemplative" diving. Counting on less N2 absorption based on how you breathe is...imaginative. I think regulator exhalation valve design might be a more measurable contribution, but again, except at greath depth/gas density, other factors would be more significant. But I'm open to solid data...
I am not saying that with proper ventilation, as I described, you get LESS Nitrogen. Read it the other way around:
using improper ventilation (short breaths and high rate) you exert an anomalous effort, which CAN result in additional Nitrogen absorption, particularly if you loose control and waste a lot of energy on your pulmonary workload.
But in the end the effect is the same: learning to breath properly is safer, both in term of releasing CO2 and not getting anomalous Nitrogen absorption.
Allowing our students to "breath as you want, just never stop venting" is not a proper approach, in my opinion.
There is another factor, related to brains-body interaction.
Underwater we are in an adverse, foreign environment, hence it is better if we keep full rational control of everything, instead of relying on automatic reflexes which, in our species, are not well adapted to it.
This means:
1) Control of your emotions
2) Control of your body (asset, attitude, movements, behaviour)
3) Control of your breathing
4) Control of your reflexes
All these types of control are interrelated, and improving one of them has positive effects onto all the other forms of control. Often teaching control of breathing is the key for controlling unwanted reflexes, such as the glottis closing when water hits the receptors around the nose, or the gig reflex when water flows inside the nose while evacuating the mask, etc.
This also means that a diver controlling his breathing is also a diver which avoids unwanted body movements, better controls his kicking to be effective and elegant, and controls his brains, reducing oxygen consumption and CO2 production (the brains, alone, can account up to 1/4 of total body's energetic consumption, hence O2 demand and CO2 production).
This means that you should not only take into account the (relatively small) amount of workload required by proper (very relaxed) ventilation, but also the (much larger) amount of workload that a diver in full control of his body and his brains is saving, thanks to such a deep control on everything.