An ideal battery with potential difference \(\Delta V_0\) is connected to four identical resistors, each of resistance \(R\), labeled \(R_1, R_2, R_3,\) and \(R_4\). In the intended circuit design, resistor \(R_1\) is connected in series with a parallel network consisting of two branches: one branch containing \(R_2\), and the second branch containing \(R_3\) and \(R_4\) in series. During assembly, an extra wire is accidentally connected between the positive terminal of the battery and the junction between \(R_3\) and \(R_4\). Which of the following claims correctly compares the actual current through resistor \(R_4\) to the intended design current, and provides the correct justification?