[CommCoreModule] avoid triggering backup upload on SQLite changes

Summary:
ENG-10001.

This is triggered on any DB write operation, we can avoid it and bring it back when having User Data.

Adding this to ENG-9921

Depends on D14096

Test Plan: Made some changes in the app - the backup handler is not triggered.

Reviewers: bartek, tomek

Reviewed By: bartek

Subscribers: ashoat

Differential Revision: https://phab.comm.dev/D14097