On many phones' OSes you can disable audible amber alerts but not presidential alerts. Some people in network engineering at the mobile network operators in Canada screwed up big time.
https://www.cbc.ca/news/opinion/amber-alerts-1.5137889
https://globalnews.ca/news/5683167/amber-alert-system/
Presidential alerts are only supposed to be used for absolute max priority events, such as literally a nuclear missile attack, a fire storm that's about to engulf a town, tsunami that will affect hundreds of thousands of people, etc.