The main benefit of running 220 vs 110 is lower amperage through the power wire and less load on the breaker. Double the voltage, halve the amperage.
Some pro audio gear can run 110-240v. Having 220v available in the HT means you have the option of running that gear at the more efficient higher voltage. I'm no electrician but I've had some experience with 220v gear.
I lived in Europe for awhile and having a water heater and electric stove that plugged into a normal wall outlet with a skinny cord was pretty awesome. We ran a dishwasher, electric kettle and oven off the same breaker. Try that with 110v.
I play bass and I did a few jams while living overseas. A whole FOH amp rack for a 500-person club barely got warm running all night. 220v is the way to go.
That said, I don't know how difficult it would be to source 220v power amps here in the states. I see that this "clone amp" is 220v but I don't know about getting 220v versions from Crown, QSC etc.
Side note: Can someone give me info on that clone amp pictured below? Linkage would be great. Thanks.