Is the expectation that SARS-CoV-2 will become a seasonal virus, permanently with us, like the other 4 coronaviridae (which we don't have a vaccine for)?

https://www.cdc.gov/coronavirus/general-information.html

It seems that those keep coming back each year either because they mutate, or the antibodies produced by our bodies are no longer produced/effective after a year or so.

So even if we had a vaccine for SARS-CoV-2, would it lose its' potency after a year, and people need annual booster shots? Or would the virus mutate so that the specific vaccine no longer works?

Also, is the expectation that the mortality rate of SARS-CoV-2 will reduce over time because of evolutionary pressure? Is that really the case, given that much of the spreading happens in the first 1-2 weeks, before the host is potentially dead?