Yes, but there's 2 'power' wires. There's the main power and then theres the 'remote turn on/trigger' wire, which is basically the radio telling the amp to do something.
In digging some more, it appears the factory amp uses speaker level inputs, so it 'should' be even simpler in that all that needs to be done is connect the trigger wire to the accessory wire behind the radio.
According to this for a 2013:
https://www.ft86club.com/forums/showthread.php?t=24658
On the 10 pin connector behind the radio, pin 3 is supposed to be a black/blue wire, which should be the ignition circuit.
On the same connector, pin 9 is supposed to be a brown wire. That is supposed to be the amp trigger. Connecting this with pin 3 should turn the amp on whenever the car is on(after reversing the
Hakone installation method).
But i would first meter the connections to verify, as those guides are consistently wrong with their colors, though they are usually pretty good about connector locations.