alanu-
IMHO alternator does charge up your battery esp. after you finished cranking your engine (battery is partially discharged at that stage). An alternator's responsibility is to supply the bulk of the power needed to keep a vehicle running, and the rest of the remaining "juice" goes to maintaining/recharge the battery.
Battery's primary function is to provide the power/energy to crank over your engine first thing in the morning, and from that point onwards, it takes on a passive, "standby" mode until it's being called for during the next "crank".
IMHO I do not see alternator "cycling", but more like voltage sensing during battery recharge, so "cycling" is not a good term.
I do agree though that a dead battery (to be specific: a battery that failed to take a charge) is something that kills an alternator in no time, and regrettably, most vehicle owners do not understand this part and then they typically came back to the parts dept and complain bitterly about their newly purchased alternator when in fact, it's their battery's fault.
That's why I typically recommend a proper load test check twice a year by knowledgeable technician to determine the state of the battery and the alternator. A battery that has weakened plates and/or sulphated plates that won't hold/take a charge shall be replaced right away (and a proper alternator load testing shall commence to ensure that it's capable of providing enough currents to power the vehicle + recharge the battery).
Most Japanese brands of alternators (Nippon-Denso, Mitsubishi, Hitachi OE, etc.) are of excellent quality and reliability. I have my original Mitsubishi alternator (65amp) on my Mazda B6 for 16+yrs until I sold it, and I have replaced my battery only once (after the original Panasonic died after 7 yrs of faithful service).
Most mechanics nowadays are pretty "old schooled" and cannot handle or properly diagnose any electronically controlled components inside a car. Heck! You need an industrial electrical/electronic technician to deal with some of the testings for crying out loud!
That's why you cannot trust your vehicles to Raul or Carlos whose been working on your neighbourhood's vehicle for the past 30+ yrs....the most they can do for you is to change the motor oil and/or replace the shocks... (no offense, I too, find it difficult to keep up with automotive technologies these days).
alanu- you work for a dealership in Vanc? or you own your own shop?