Isn't that a claim that the public may have against the researchers, rather than against journals? A journal is merely _offering_ a publishing service, and the public may, if they deem that service unacceptable, demand of the researchers that they do not use it.
Many hiring requirements for researchers is that they have a published paper in X journal. Usually these journals are run by Elsevier, who takes copyright from the researchers. Are suggesting that the public lobby universities to change their hiring practices? (In which case you had better have a good alternative, otherwise you'll most likely be laughed off)
Anyway, your putting the burden on the public feels like just another way of saying "Someone else should do it". You're a member of the public, have you set up anything to demand that researchers not publish in certain journals?
If you asked the public "should there be a special law excluding scientific articles from copyright protection," I suspect most people would say "no." Sometimes the public agrees with the general principles of a law, but disagrees with specific applications. In those cases, we give precedence to the legal principles, not the public's opinion on a specific situation.
I agree with you that the laws are corrupt and should be changed, but that's going to involve refactoring the entire legal system on different operating principles, which is a radical change. IT's important to understand that this isn't one bad decision by a court or something that can fixed with a patch. Are you up for such a gargantuan task?
Instead, just start breaking laws that are corrupt, like copyrite laws, and eventually they will be unenforceable.
Copyright laws are already mostly unenforceable against individuals.
Laws only work because society mostly follows them. The ones that people DON'T follow, may as well not even exist.
I doubt you could find any member of the public who would say "Yes" if asked "Should research you paid for cost you money to read?".
No reasonable person would agree with the rules as they are if they were introduced today, we got here because it's not an election issue and special interests and lobbyists have distorted rules written centuries ago massively in their favour.