Well, that's a common misconception, so let's clar it.
In fact, the power your speaker gets comes from the PSU and nowhere else, and the amp is merely the "faucet" or "trottle" that lets that power get to your speaker in a controlled way.
So if you built a PSU for a 10W amp, and you connect a "32W" chipamp there, guess what will your speaker get?
a) 32W
b) 10W
If you guessed 10W .... you won.
So go ahead with it.
EDIT: I forgot:
I couldn't get the sim to do the blocking bit, but the large slew in DC conditions alone is a powerful caution.
That's because you applied a polite , constant, well mannered sinewave.
But apply to it any real World music signal with 10 or 15V peaks, followed by, say, 100 to 500mV RMS music (Guitar/Bass/Hip Hop/Tecno/whatever) and look what happens.
Don't know whether the Sim program is sophisticated enough to simulate this, so I'll save you the waste of time: the power amp will block to death, the speaker out will stick to one rail for a few seconds, and will slowly come to normal while horribly distorting the signal.
Those seconds, specially if you are onstage performing before some people, will be the longest in your life.
How do I know?
Well, a friend of a friend of a friend told me there was this 16 Y.O. "whiz kid" around 1969, trying to design his first SS amps, and he had *big* trouble with this

Fact is, the transistor base makes a nice diode together with the emotter, which to worsen things is directly connected to ground, so on signals over 700mV peak it charges the coupling capacitor real quick.
This reverse biases the BE diode, so only discharge path is through the base biasing resistor.
Now do the Math, with 47uF (C9) and R14 (33K)
I'll save you some time, the RC time constant above is 1.5 seconds.
How would you like having random 1.5 seconds muting going on and off in the middle of a hot solo?
