Drywall is trivial to remove and repair, I have no issue cutting walls with a circular saw or vibrating cutter to get access then patching it.

I have seen another method for making walls that were accessible though, from a homesteader/ hand tool woodworker and carpenter. His walls were 24” thick with huge areas for piping and electrical and had 4x4’ removable wood panels.

https://youtu.be/8fdm9R1Cbm0?si=9SRXgcdutos-hywc

It's the repainting that bothers me

I wouldn't call it trivial. First you have to determine where to cut it; if you cut the wrong area you have to cut again. All the steps in repairing it either take time, are messy, or require some skill, and the time adds up (e.g. waiting for the patch to dry before you can sand; waiting for the primer to dry before you can paint; etc.).

And then you have to match the surrounding paint, which is all but impossible since even if you have the same color, the original will have likely faded over the years, making your newly applied coat a mismatch, so now you have to paint the entire wall (no fun when it's a big wall). And if you had wallpaper instead of paint, good luck to you unless you saved some extra scraps.

All in all, an access panel would make the job much simpler.

The thing is you might not need to access your electric or plumbing for like 100 years. You do get a panel where access is presumably on a more regular schedule: usually the shower hookups are accessible from a closet.