Please quantify "a lot". What percentage of the population wants all private communication between adults to be monitored and censored by a government agency? Can we put it to a vote - right after publicly discussing (debunking) all of the false beliefs that its proponents have?
The question that is at the core is “police can wire tap calls but they cannot wire tap chats. Should this change?” The details are not all that important to people.
Legal interception requires a court order, Chat control is mass surveillance.
Trying to build support for mass surveillance by misrepresenting it as targeted tool with checks and balances is exactly the kind of bad faith discourse I'm talking about.
