I have some vintage Yamaha amps and a Carver. Once the TV is triggered the amps take about 1 or 2 seconds to turn on before the avr turns on. SS amps should not take long to activate unless something is wrong somewhere in the power chain.
Klipsch RF 7 based HT 7.4, Pioneer SC 35, Acurus Five 200 amp, Chase SS 18.2(2), VS 18.1(2), Samsung BDP F 7500, Asus/My Book Live HPC 4 TB
Yaquin VK 2100 amp, McIntosh XR 5 speakers, Samsung BDP F 7500