So do 101 other groups. Police and the FBI to name but a few. It mostly affects poor people: a well off person will get a lawyer, the lawyer will enter discovery and ask questions about how the police knew. The case will be dropped. A public defender won't have the time between the 400 other cases he has today.
I'm curious if anyone will ever make an equal protection claim based on this discrepancy. We're fast approaching a world where those with the money can protect their rights and even throw up procedural obstacles to prevent prosecution, and those without money go to jail when their rights were violated.
At what point does the overwork of public defenders relative to private counterparts become an equal protection issue?
Class (or income/wealth or whatever you call it) is the elephant in the room for a lot of US equality law. Sometimes SCOTUS rules for it (eg when public defenders were first required) but recently they've ruled solidly against it (eg voter Id laws).
Personally I don't think the current US civil society would wear such a classification and deciding the edges of it would be messy.
But I think it's logically and morally correct.
It always surprises me when US colleges go on about diversity of race but no one really takes much interest in diversity of socioeconomic background.
Here in the UK we are similarly picky about what discrimination is acceptable. Maybe in another generation or two people will be ready for a more thorough review of things.
