Final answer:
The right to counsel, which allows for the recommendation or advising of line personnel, is known as the "right to an attorney". It plays a critical role in the U.S. legal system, ensured by landmark decisions such as Glasser v. United States and Miranda v. Arizona, and is protected under the Sixth and Fifth Amendments.
Step-by-step explanation:
The term for the right to counsel, advise, or make recommendations to line personnel is often referred to as the right to an attorney or legal counsel. In the context of U.S. law, this right is a fundamental component of the judicial system, as established by a series of landmark cases. Among these, Glasser v. United States set a precedent regarding the Assistance of Counsel Clause of the Sixth Amendment. Furthermore, Miranda v. Arizona ensured that police must inform individuals in custody of their rights, including the right to remain silent and the right to consult with a lawyer. The Fifth Amendment protects individuals against self-incrimination, which includes the right to not speak during police interrogations without having been informed of the right to counsel. If individuals are not notified of these rights, it could be seen as a violation of the Fifth Amendment.