No, we don't all know that. If unvaccinated people are not sick with Covid, they can't be spreading it. Can't spread what you don't have.
Also, vaccinated people can get Covid and spread it. We've been
told that getting vaccinated will ensure that if you get Covid, you won't get as sick. However, I'm not sure they had time to test the vaccine enough to come to that conclusion. And there's also the VAERS database, which reports those instances of vaccine-adverse events
that have been reported to it.
"VAERS is the Vaccine Adverse Event Reporting System put in place in 1990. It is a voluntary reporting system that has been estimated to account for only
1% (see the Lazarus Report) of vaccine injuries.
OpenVAERS is built from the HHS data available for download at
vaers.hhs.gov."
[Added] As of today, the number of reported "vaccine adverse events" is 1,823,610. Note the above paragraph that states that the reports have "been estimated to account for only 1% ... of vaccine injuries."
https://openvaers.com/index.php