Managed account last active date is cleared when the product access is removed

Issue Summary

There is a discrepancy wrt the Last Activity Data for users between Orgs and Sites.
It seems like the Site has the last active data mapped correctly however at the Org level (Managed Accounts sections) this data depends on the Active Product Access of the user. So if a user has access a product then last active data is recorded however it is cleared out when Access to this Product is removed which causes a discrepancy.

This is reproducible on Data Center: No

Steps to Reproduce

1. Invited the user to the site and made them login
2. User management gets updated with the latest date:

      3. Org does not (This also takes a while to get updated)

       4. Checked after 10 hours we see last activity got updated

       5. Now, we disabled site access for the user

       6. Last Active on Org got reverted to June 22

       7. While on the site it still shows as July 4th

Expected Results

Last Active should show the most recent date when user was active and it should not depend on their current Product Access.
Also, this data should match between the Site and Org

Actual Results

Discrepancy between Site and Org level Last Active Dates

Workaround

N/A