Hi creativologist,
With Amazon SES, there are two levels of suppression to consider.
First is the Amazon SES global suppression list. If an address hard bounce,s Amazon adds it to this list automatically and will not try to deliver to it again. You do not need to manually remove or manage those addresses.
Second, consider the system you are using to send campaigns. SES will forward the bounce notification to the address you set up, but that is mainly for your own tracking. Most mailing apps or CRMs are expected to process those notifications and then mark the address as bounced or inactive inside your system.
So in short:
SES automatically suppresses hard bounces at its end.
You still need to ensure that your campaign tool or CRM updates its own records so that you are not repeatedly sending to incorrect addresses.
For newsletter campaigns, the same logic applies. SES will block mail to addresses on its suppression list, but you should also have your own suppression or bounce handling rules in the app you are using.