The US system has different levels of alerts: Presidential/National Alerts, AMBER Alerts, Extreme Weather Alerts, Dangerous Weather Alerts, etc. On my Pixel 6, everything but the Presidential/National Alerts can be disabled. Same with my wife's Galaxy S22. I assume the same for iPhones.
However the Canadian system (which is heavily based on the American system) is setup differently. All alerts are sent as 'National/Presidential Alerts'. None of the other alert levels are used.