Where I was, they didn't want to let anyone in the Law Library, and they would tell everyone that if they had been given a Public Defender they had already had their 6th Amendment Rights fulfilled. So what I would do whenever someone wanted their lawyer to come sooner is send in a request on their account to go to the law library, and the next day their lawyer would show up every time.
And in Texas, at least where I was, when you get arraigned they give you a piece of paper with your lawyers name on it and everything, and right on the piece of paper it says:
TEXAS FAIR DEFENSE ACT
[Paraphrased] Your lawyer should, by law, make every effort to visit you within 24 hours, if your lawyer has not come within 24 hours contact the Idigent Defense Office.
And no one read that. I had to show so many people that it was on the top of the paper. Then when someone hadn't had a lawyer for like 1-2 months of being there, I would just quote the law, then add the 6th Amendment, and any other relative case law. And the lawyer would always come that day, and one guy's lawyer got him out instead of coming to visit, and another guys lawyer bailed him out of jail (he was put in jail for missing a child support payment, but was never assigned a lawyer for that original case, so he was actually illegally in jail)