yes. Fastmail can "automatically" do that, if you configure it to have those rules.

If I configure my rules today and then tomorrow I sign up for a new site do I have to amend my rules to also filter the new site? Because that's too much manual management. It's not a lot for a single site, yes, but x10 new sites a month it is too much. It's death by 1,000 cuts.

I don't ever have to do it with Gmail, and that is a tremendous amount of time saved. It is a lifesaver.