Regionals exist because the majors created them.
The majors contract regional airlines to fly routes to feed the hubs it’s that simple. They do not sell their own tickets nor market themselves.
The last time a regional airline attempted to go their own ended in a major disaster, as in liquidation. Look into the history of Atlantic Coast Airline also known as “bubble jet.”
The days of Air Wisconsin and other independent regional airlines are gone.
You all need to know the history of the industry.