The common theme if you live where daylight saving time is observed is to change your batteries whenever you change your clock. For hardwired ones I'd imagine once a year instead of twice would be perfectly safe.
What I wonder about is why 9v? The photo type (123?) Batteries in my rental property's wireless motion detector last for about 5 years... Seems that something as important as smoke detectors should be standardized to use a longer life battery than a regular ol' 9v.
With the Daylight Savings clock switch you choose one as a reminder to change, I change in the fall once a year, do not need twice. Though you should use the second clock change as a reminder to check that it is working, because most people forget all about them until they start chirping from a low battery, this is a guideline. You should check once a month as they do flash a little light once in a while so the battery is being used. Once a year change is good.
Do not wait until they chirp, you are lazy
@StereoPlayer.
They do make some with a 10 year sealed battery. You should toss all testers after 10 years anyway so this is a convenient pack for high ceilings, or lazy people.

I mark the date I installed and battery changes on all of mine.
From the U.S. Fire Administration:
What powers a smoke alarm?
Smoke alarms are powered by battery or by your home's electrical system. If the smoke alarm is powered by battery, it runs on either a disposable nine-volt battery or a non-replaceable 10-year lithium (“long-life”) battery. Alarms that get power from your home's electrical system, or “hardwired,” usually have a back-up battery that will need to be replaced once a year.
I am with you Bob on your logic of them getting power from another source so should not need changed as often, but they want you to be safe than sorry.