I bought a laptop sold as "open box (new)". It had no signs of wear or use, that I can recall. I don't really know if the battery suffered from the prior use, but I mostly leave it plugged in and wouldn't mind replacing the battery if I had to.
15+ years ago, I bought 2x 24-inch CRT monitors, used. The first one I paid almost 50% of the MSRP and I brought a laptop so I could plug it in and inspect the image. The second one I got a couple years later for about 25-30% of the new price and they weren't really setup to have me plug it in. So, I settled for just checking that the screen wasn't scratched.
I continued to use them until 2020, when I started to work from home. In the summer of 2020, the CRTs simply gave off too much heat + I wanted more size & resolution. That's when I switched to LCD.
BTW, I grabbed a 2007-era LCD monitor being thrown out at the office, and it actually has some obvious burn-in. So, that can absolutely happen with LCDs at least of that vintage. I don't mind, since I don't use it as my main monitor.