Short trips, by themselves, are not enough to prematurely kill a battery.
It takes about a minute to return that which was used to start a modern fuel injected engine, when the voltage regulator seeks mid 14's, which most do after starting before dropping to lower voltages
. So unless short trip means one minute or less, the short trip by itself is not killing the battery.
However short trips can never fully charge a depleted battery, one depleted by parasitic loads prevalent in modern vehicles or by listening to stereo with engine off.
It is impossible to recharge an 80% charged battery to 100% in less than 3.5 hours, and that assumes a still healthy battery and high charging voltages. LEss healthy batteries can require much more time even at high voltages and lesser voltages might never be able to fully charge a less than healthy battery.
So the battery kept healthy, is easier to keep healthy as it recharges faster a tthe voltages allowed by the vehicles voltage regulator, and the battery allowed to sulfate from chrnoic undercharging will lose performance/capacity/cranking amps at an accellerating rate and then take significantly longer to fully charge even if a proper chargign source is then applied for a significant duration and does nto shut off prematurely, which most do even on a healthy depleted battery.
A lead acid battery ideally wants to be kept truly fully charged, and kept cool. Keeping it cool is not always easy, but any charging source applied is better than no charging source, as 90% is much better than 85%, even though as long as it is 30% charged it will still likely start the engine, outside of cold winter mornings.
But wanting to kill it before the warranty is up,.... just keep on keeping on.
Vehicle voltage regulation is not designed to quickly and fully charge depleted batteries. Nowadays, voltage regulation is used to attempt to enhance fuel economy, at the expense of battery life, on many makes and models.
The alternator is not a magical free power source which defies the laws of physics.
They are only 55 to 65% efficient.
Luck plays little part of it, unless luck is included in how well your vehicle's voltage regulator takes care of the battery in your specific usage.
When one realizes lead acid batteries need to be regularly fully charged, to live for 5+ years, and their vehicle's charging system is far from ideal for achieving this. They can either accept a short rental period, and replace more often, or take steps to extend it and replace less often.
Average high temperatures do cause the sulfuric acid to eat the plates faster, but it still helps to insure full charges regularly occur.
Major defects aside, The worst Lead acid battery kept fully charged will outlive the best Lead acid battery chronically undercharged.
This includes AGMs.
Bitogers wanting to get good to excellent battery life, likely need external charging sources applied regularly, and the more often the vehicle sits without being driven, or never sees longer highway drives, or the battery is depleted by accessories with engine off, the more important and beneficial the external charging sources become.