In OLX we have the ability to decline donor updates to their constituent information. Can that be replicated on the RE NXT giving page. It looks like the system automatically updates the donor record with whatever information they enter and deletes what was already there.
Check your donation form settings under Tools-->Settings. There is a setting to Mark new addresses as primary which you may want to uncheck. We do not delete any prior addresses, but they may be moved to non-primary.
Some customers will setup a new address type to capture new addresses so they can review them as needed.
I will mark this as voting open as the idea still stands, in the meantime check your settings to see if you ensure your current addresses aren't changing/moving!