Invoices reminders to multiple recipients

It would be great if there was an option to send reminders to the same list of recipients the original invoice was sent to. So if an invoice was generated from a specific template and it has 3 recipients the reminders would be sent to the same 3 individuals. As I understand it reminders only go to the default account contact, which in some cases means invoices don’t get paid as they haven’t been signed off by the other recipients yet. I’d like to see all original recipients getting reminded the invoice remains unpaid!