The paper considers the problem of calculating the resistance between different nodes of infinite grid resistor systems. New counterexamples are presented proving the proximity of the results obtained earlier by the superposition & symmetry method. The correctness of using the equivalent resistance method to calculate the resistance between close nodes of infinite grid systems is proved. The resistance between the diagonal points of an infinite grid of identical resistors r with square cells is calculated. For the value of this resistance, a value is found r/√2 that differs from the value 2r/𝝅 obtained previously by the superposition and symmetry method.