i can see that running the engine off the battery may not be good but i know that the alt is producing a small amount of energy even at low rpms while driving. which is why the battery never drops under 12.1. (with nothing on) which is why i don't see a 14.0 while driving, all because it's not in demand for it.
if it did just run off the battery i'm sure it would drop even lower or even be dead by now from the strain. though i've had my car for 2 years and still have the stock g51 size batt which had to be jumped once from having my car off and running my stereo for 5 hours(note: no subs only H.U). ran a pca2000d to my XXX for about 6 months on that single stock bat, never had any issues starting my car either or having a dead battery, then swiitched to a saz1500d in febuary with a red top(keeping voltage more stable) and i still have that battery going.
i know that just cause the alts rated at per say 80 amps it's not always producing 80 amps. but your looking at a little alt only pumping out small(per say 30 amps) amounts of energy for only what the car is demanding.
i wouldn't say that the alts purposely shut off the alt to improve on effeciency i was stating that being these vehicles are not as demanding and are not needing that excess of 14v to operate. which is why they keep the car at such a low voltage.
now saying that the car is running off the battery while driving or at idle is something i would say the car is not doing, why would honda/acura do something like that? if so then sooooooooooo manyf people with hondas/acuras would be having bad batteries.