Very little you do on the iPad should affect the other devices in a negative way. The exceptions are things stored in iCloud like bookmarks, book and photo collection, files, app content. However, these are not things affected by changing settings, reseting, or cleaning web data on the iPad. You have to deliberately delete this content from iCloud; like going into Safari and deleting your bookmarks.
The only other thing that will will affect other devices are automatic downloads of apps, music, or books purchased. You turn this behavior on/off in the iTunes and App Store settings.
So, yes you can do the various resets on the iPad and see what happens. I’d start with the least impactful, Reset Network Settings. This will delete all your Wi-Fi network, VPN, and other internet access settings. You’ll need to sign into those providers again, so make sure you have your current Wi-Fi and other network passwords available.
Next is Reset All Settings. This will return the iPad to default settings for the majority of system settings. It does not affect the content or settings of third party apps. It does effect the settings in some Apple apps, like Mail. You’ll end up spending some time tweaking the iPad back to the way you like it. This is surprisingly effective on weird problems you never expect it to fix, and puzzlingly ineffective on things you think would obviously be fixed. Worth a try if you’re at wits end, before you go the whole nuke-it-all route.
Reset All Content and Settings will return the iPad to out of the box condition. When complete you will go through the same process you went through to set up the iPad when new. This includes the opportunity to restore it from a backup in iCloud. Make sure you have a good backup before you do this. You can also use backup from other iPads to restore, making it a clone of your other iPad; but only if the iPad being restored is on the same or newer version of iOS/iPadOS. You can also choose to to the backup and restore using a computer using the iTunes software on the computer (or iMazing if you wan to go third party)
With this option, it is best try to restore using a backup first, and if that does not work do a clean restore and manually re-install stuff later. In the second case, iCloud content will come back as long as you use the same iCloud account. App data/files not stored on the iPad will be lost. So do a complete inventory of what you’ve got on the iPad (and only on that iPad) that you don’t want to lose. Make sure you save it somewhere else.
That last is a good idea anyway. Nothing you care about should be stored or backed up on just one device or service.
