Hi iamjurr,
Thank you for the inquiry.
In general, if you uninstall or delete any iOS app (not just Acrobat), the operating system (iOS) will delete all of app data (including your local documents, preferences, etc.) associated with the app. That's the expected behavior for iOS. It's not a unique problem to Acrobat.
Apple's Files app will let you browse the local documents that are stored in Acrobat on your iPad/iPhone.

- Launch the Files app.
- Tap Browse in the bottom tab bar.
- Go to Locations > On My iPad / On My iPhone.
- Open the Acrobat folder.
The Acrobat folder contents in the Files app are equivalent of Files > Locations > On This iPad / On This iPhone in the Acrobat app.

If you uninstall Acrobat, your local documents and folders would disappear from both apps.
Any documents stored in cloud storage locations (e.g. Adobe Document Cloud, iCloud Drive, Dropbox, Google Drive, Microsoft OneDrive, etc.) will remain intact even after Acrobat is uninstalled.
To prevent accidental data loss on your iPad/iPhone, we'd highly recommend the following:
- Update Acrobat to a new version instead of uninstalling and reinstalling it.
- Back up your entire device using iCloud or iTunes regularly.
How to back up your iPhone, iPad, and iPod touch - Apple Support
Restore your iPhone, iPad, or iPod touch from a backup - Apple Support
Alternatively, you can make backup copies of your Acrobat local documents only.
How to back up and restore PDF documents on iPad/iPhone using iTunes
Hope this helps.
Please let us know if you have any other questions.