It definitely matters how the circuit is designed. I am pondering the same questions and I plan on providing 4-20 amp circuits for my HT setup. I will likely only use one or two at a time but I want the flexibility. Each 20 amp circuit provides approximately 2000 watts of available power at the receptacle with a little headroom for peak power. I have a power conditioner and all of my equipment is plugged into it for two major reasons:
1) All of the equipment shares a common ground to minimize ground loop problems
2) All of the equipment is protected by the conditioner.
The conditioner has a voltage and wattage output monitor so I know how much current is being drawn by the system. With everything on at high output levels it stays less than a thousand watts typically which is 8-9 amps. Even with all my equipment at its rated output it would still stay less than a 20 amp circuit can supply. If you install your own circuits make sure they share a good common ground on all circuits to avoid the ground loop issues. That includes your cable/satellite TV box and any antennas you may have. I will likely install some sort of dedicated protected circuit for just the HT room when I construct it.
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Music system
Model 990/7500/Magnepan 1.6 QRs/Technics SL1200 MK2/Aperion S-12 Subwoofer/OWA3/Sony NS75H DVD
APC H15 Power Conditioner
TV System
Large Advent Loudspeakers/ Polk center/Monoprice surrounds/Panasonic Viera 42 inch/Onkyo HT-RC260/Sony BDP S590/Directv
Home Theater System
Onkyo PR-SC886/Outlaw 7125 Klipsch RF-82 L/R,RC-62 center, RB-35 SR/SL, BENQ HT1075, Outlaw LFM1-EX/OPPO BDP-83/Directv
Harmony ONE
Blue Jeans and Monoprice interconnects
APC H15 Power Conditioner