I think the guy at Autozone wasn't familiar with Hondas.
Hondas use a 'gas saving' control for alternator power.
When charging, they allow ~14.5 volts (most cars are about 13.5V)
Once the battery is recharged sufficiently after starting, the car will purposely 'run off the battery' at ~12.5 V at times. If you run high amperage devices like headlights or A/C, the voltage will ALWAYS read ~14.5.
You can either use a cheap OBD tool to monitor voltage, or a power socket plug-in that will display your system voltage, like this $10 unit from Amazon or other retailer.