In which case would this be the primary blame, and not the legal system itself, or you for actually doing the crime?
I fail to see how its your lawyers fault that you went to jail for a crime you didn't commit over the system as a whole. And I really fail to see how it's the lawyer's sole fault that you went to jail for a crime that you should - in fact - have went to jail for...
There are a lot of problems with the legal system (including with lawyers). This just doesn't seem like the hill to die on.