Lmao are you serious? What about emails buried in spam? What if contact x left the company and the emails are black holes? There are a million valid reasons for emails to go poof. "But we emailed you" is weak.
You actually need to read your spam to check and if a company didn’t bother transition an employee out properly (i.e figure out what their email address was attached to), why is that on the supplier?
Why do they need to move mountains so that you can avoid any seriousness about your own operations?
This attitude you have is not appropriate for a vendor. Clients do not care that you think your substandard practices are fair, they will find someone else with actual "seriousness."