In other words, manual advance of the power levers will over-ride all automatics?
Can only speak for B737. The answer is Yes... but it's not that clear cut.
The autothrottle servo motors can easily ge over ridden but if you don't fly the automatics as intended the same servo will bring back the thrust levers as soon as you let go of them. In a go-around scenario you either have to press TOGA switches or disconnect the autothrottle and manually advance.