I can't see anything wrong with using delayed power control. It just sends power to the amp which in turn will load it's circuits until the blue light turns on. Does the APC have a remote to turn the amp on separately or have you hooked the whole system, including the tv, to the power supply so each time you turn the tv on the amp comes on?
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"There is one who comes after me who's sandals I am unworthy to unloose." John the Baptist