After you've been vaping for awhile, and collected a variety of batteries, different kinds of attys, cartos, driptips, different set-ups, etc: it is RARE that you will be using a battery that came with a particular atty.
Yes you may own the more expensive atty for your favorite after dinner vape, or your special mod.
Yes you may own both pieces that came with a kit, or you may only buy from "store A"
but after a bit of spending, and seeing sales, and stocking up, things dying, replacing, losing, finding, etc etc.. it all gets kinda jumbled up.. and you may find that the latest sale prices matter more than 'name' brand, especially when thinking about having a supply, and not which brand is better.
A LR atty may be a different vape than a regular atty.. but I honestly couldn't tell you what brand ANY of my pieces are anymore!