It might be something that varies per motherboardInteresting I have no issues with my PicoPSU 160XT and EPP-200-12. It does take about 15-20 seconds after plugging in power before the CPU will boot, not sure if it has to charge some capacitors or something like that.
In regards to booting, I haven't had it not boot yet and I hit the power button about 1 second after flipping the switch on the AC side