Yes mine works like this. The player goes into standby for like 60 seconds before it completely shuts down after the ignition is turned off. During that 60 sec I can take it out of standby (with the igniton still off) and my amp will switch on, too. But once it is completly shut down (After it's been in standby for 60 sec) i have to turn the ignition on if I want to turn the player back on.