Not sure why anyone would have difficulty in finding a place to purchase these batteries now days. Yes, I mean the various thin wafer style batteries. The shelf life is incredible, until the seal glued onto the battery, is removed. Pretty easy to keep a spare(s) on hand.
Car remote, fish weighing scale, digital calipers, garage door opener, drill press digital readout, garage entry door keypad, dust collector remote, trolling motor hand remote are just a few of items I own which use them. On average I replace a battery in any one device, about once every two years.
About the only thing I have which still uses a "AA or AAA" battery is a LED headlamp. Even then, most of my more powerful headlamps use a rechargeable 18650 battery.
If one really does not want a digital caliper, a dial caliper is a huge step up from trying to read the thin lines on a vernier caliper. IMHO One plus to a digital caliper, is the ability to instantly switch from imperial to metric and back, at will. So many project plans and designs out there that are in metric dimensions.