Even if they are ordered to take these clients, they can abstain.
No lawyer in the world has to take a client.
If you are a Public Defender, or on a defender list, and you are ordered to take a client you have to.
Slime balls are guaranteed certain rights under the Constitution-and if you are in court you HAVE to have a lawyer for the proceedings to be fair.
In the old days before it was requried a prosecutor could convict anyone unrepresented, even a ham sandwich, just because they knew the complex rules of procedure and evidence.