Yes, capacitors are efficient. I don't get your point. A single capacitor in series with the speaker is just as efficient. Capacitors are not dissipative other than parasitic effects.
I'm getting tired if you spouting claims that you never support. The capacitance requirement is not changed when two capacitors are used across the power rails. Nothing you have shown refutes that statement. The two 10 caps uF in the AC sense behave exactly as if they were in parallel with one another and both connected to ground.
Yes, and keeping the DC potential "stiff" under load is defined by f = 1/ 2pi R C