Note that this (awesome) advice applies only to the Color Classic and Color Classic II (based upon my definition of "Compact AIO"). All the black-and-white Macs from the 128k to the SE/30 and Classic II use hard-power, and there is no trickle power on them.
If it boots immediately after turning on the switch, it uses hard power and gains nothing from being plugged-in-but-not-turned-on. If you have to press the keyboard power key, it uses soft-power and gains extended PRAM battery life from being plugged-in-but-not-turned-on.