In all of the years I've been dealing with "toasts", I never realized this until just now. I always thought it was some kind of weird reference to toasting with a drink or something.
Update: On consideration, I think my disconnect was because the plural of the notification method is "toasts", but the plural of the recooked bread slices is "toast". The plural of benedictions given prior to a drink is "toasts". So I mentally connected up with that.
That does make a certain amount of sense... much more sense than https://en.wikipedia.org/wiki/Toast_(honor) which for some weird, unexplainable reason my brain had decided was where the name came from...