If you leave the battery inside a cheap caliper, the battery will be dead in a couple of hours, even if the caliper is switched "OFF".
that's true but a physical switch needs to be placed and soldered while the soft on/off just needs to be placed atop it on the traces on the pcb. cost just probably was the biggest issue.
I bought a €20 digital caliper (this one[1]) and the battery is still fine, 2½ years later.
That said, they absolutely do eat batteries faster than the expensive calipers.
"Turns out they pull almost as much current off (15uA) as they do on (17uA)."
https://www.reddit.com/r/harborfreight/comments/z7j8hp/fixed...