I do not understand what “other site’s table is modified” means.
One database in WordPress contains tables of many domains. eg. alpha.com, beta.com. Alpha.com uses tables, where table’s name begins with “alpha_”, beta.com uses tables with name begins with “beta_.”
You install BPS Pro to alpha.com, but the database is used by beta.com also. You write a post in beta.com and modify the table begins with “beta_” . The BPS Pro alerts that database is not the same as the backup database.
I would like to switch off the alerts when beta.com modifies the tables belongs to beta.com, i.e. tables begins with “beta_”. I still want to receive message when tables of alpha.com (tables begins with “alpha_”) changed.
Clear enough?