I do NOT teach that nitrox is safer than air, it is used to extend bottom time only; all other reasons (for its use) are debatable.
Statements like this is why I've come to be so detached from the formal instruction model of learning. Professionals making decisions based upon whimsy. Why not teach students all the facts and let them decide how they will use the gas.
EAN reduces the amount of N you uptake. That is a fact. This can either be used to extend BT (which negates the DCS safety buffer) or to provide a DCS safety buffer. That is a fact.
or as a hybrid of the two as the OP stated, though I've never heard of anyone locally doing that.
One might argue on an average dive day that buffer is theoretical but there are circumstances when it does come into play. I use EAN whenever I either want to extend bottom time on certain dives (wrecks mostly)
or reduce the amount of N loading while not extending BT (for me due to DCS risk from repetitive diving or post dive altitude adjustments).
It may not be how you dive but should a formal course only teach your perspective or the facts.
There are safety issues surrounding EAN but almost all of them have to do with diver error, not the gas itself. A properly trained, attentive diver can use EAN to either extend BT or add a DCS safety buffer to the dive, just like using the conservative setting on your computer.
Lamont did beat me to the punch in bringing up some other factors that need to be considered when using EAN though, like hypothermia. I generally use air these days because I see most everything I need to each dive with air NDL's and can only do about an hour in a wetsuit at 45F.