The splices in the picture are original Honda.
There's a second small wire coming off the solenoid, Green w/Red. That is the ground circuit for the solenoid and is connected to the neutral safety switch and clutch safety switch. You can check that there is ground by using one VOM lead to the positive battery terminal and the other to that wire connector. You should see ground/voltage reading when the transmission is in neutral or if in gear when the clutch lever is pulled. There is a "rectifier" in the circuit to prevent voltage feedback because of the 2 different type circuits. If that diode is missing the starter won't work in neutral.