The battery band isn't a huge deal; as most of them are built pretty good nowdays.
The key is....first and foremost, initial servicing. We don't know if they were put into service properly. We used to have to add electrolyte when someone bought a battery; and of course nobody wants to wait, so the "45 minute stand time" was out of the question. Those few times that we were able to service them properly, they lasted a LONG time. 50% of the battery's lifespan is dependent on initial service, IMO. Not done right, it'll be done in less than a year. Most places do it for you nowdays ("maintenance free").
Then taking care of your new battery. It's imperative to keep it topped off with electrolyte if it has removable caps. Distilled water only, NOT tap water. Not a worry with maintenance free style batteries that don't have the removable caps. Then keeping it charged. If a battery is allowed to discharge to a certain point, and left at that point for any length of time, it will kind of develop a memory-and will never recover properly. Some of the AGM batteries can withstand it better than a traditional flooded lead-acid battery; but if you charge it fully and KEEP it charged, keep the fluid level full, and don't allow it to sit discharged, it will last a very long time. I've got one in my boat that was purchased 1/18/2001 and it is still going strong. I probably need to replace it someday soon though because nothing is more aggravating than hitting the water and finding out that the battery is too low to run the trolling motor.
Letting it sit without a storage charger on it will kill it; and is the #2 cause for premature failure (behind initial service). That said, some places will order a few batteries and put them on the shelf where they'll sit for an amount of time. Batteries will slowly discharge on their own. The longer they sit, the more discharged they become. It is perfectly normal. If it sits on the shelf for a few months, it's lifespan has been cut. Wal-Mart used to be notorious for that (at least the local one was)...I remember going in to buy a battery for my Mustang one time (only place open....) and the only one that they had had been dated 7 months prior. I think I got a few months out of it until I noticed that it was getting weak. Replaced under warranty; new one was dated more recent is still in the car (had it for almost 4 years).