Hi OrganaicGrower, if you open the Photos app and long press a photo, it gives you the option to Share. When you press Share you get the option Save To Files. If you select this option you will be prompted to pick a destination to Share(save) that pic. Select "On My iPad" to save a picture locally. This pic (or I should say this copy of the pic) is now stored locally on the device. If you decide to edit or delete this particular copy saved to your local iPad, it effects only that device local copy.
The iCloud saved Photos is purposefully meant to be a shared network drive for your Apple Devices. It's how to access any photo taken on any Apple device which can be very useful. Put another way: you may be accessing the photos from your iPad but, in effect, you are looking at a photo on the shared iCloud Drive. However, the good news is, inside the Photos app, you can press the Select button in the upper right. This will allow you to select, in theory, an unlimited amount of photos to then press Share and select save to the local device. Repeat this process for any Apple device you want to have a local copy of the pic.