Why not set a forward filter based on the subject on your end?
Been doing that for years...
Been doing that for years...
A couple of our suppliers do have the separate-email-for-invoices-only thing, and it really is super convenient to know that any changes they make to their invoice emails (subject lines etc) won't break our forwarding rules.
Also the forwarding rules don't survive email migrations (which I admit is a super infrequent thing to do). When we migrated from Google Apps to Office 365 we lost the rules we'd previously set up for this type of thing.