... Yes, if you are going downwind like the Gunboat in the picture, it's logical to use a larger headsail.
No one ever said that in those situations, a large masthead or fractional overlapping headsail is not faster. We all know it's faster and the reasons are pretty simple - bigger is faster most of the time. But the fact that in some situations big headsails are faster does not mean that big headsails are always better or always faster, so many people prefer smaller headsails that are more easily handled.
The points I was trying to make for my aft-mast rig with its big genoa is that I was trying to meet a big variety of conditions with a limited sail inventory (my 3 sails are the only ones I have onboard, and are set up to be reduced in size by roller furling, not hoisted or replaced by alternatives).
As such I wanted a good size genoa sail for those often encounter 5-15 knot winds that we would really like to sail in rather than turning on the engine(s). This size sail, in those conditions, should be relatively easy to handle, ...(and when out cruising I would NOT be looking at getting into tacking duals). I was seeking to get the best from this genoa sail by giving it the best help from the 'cutter jib' (mainstaysail as I refer to it), and providing for its best dumping traits as described by Tom.
I'm also quite convinced that modern sail materials such as the tape-drives or these Titanium sails would allow for a very light weight sail that would maintain their shape even in higher wind conditions. These materials should also allow for sailing under a partially furled sail. As I have said before I believe a hefty size ROUND furling 'tube' (headstay) should utilized to negate some difficulties of stalling the sail due to a 'too-sharp' leading edge to the headsails. Combine this type of headstay foil with a modern 'shaped foam insert' in the leading edge, and this sail should set pretty well in the roller-reefed condition. It would be nice to be able to utilize this reef-able genoa up to the 30 knot range.
For storm conditions that we see coming we slip another sail over that furling genoa:
Storm Sail Configurations
With respect to the G4 capsize - can we ask who said 'those big bad genoas will catch the wind and cause the capsize'? Even if the headsail was easier to dump in that instance (and that's unproven AFAIK), so what? It's one boat in one situation. When we're racing our fast cat we dump the jib first downwind for good reasons, when we're racing a medium-speed dinghy we dump the main first for good reasons, when you race a skiff you dump the kite first for good reasons. The fact that one boat uses a particular technique doesn't mean it's better overall.
Sorry I should not have put that 'big bad genoa thing' in quotes, ...nobody said that specifically. But several have posted messages about the lack of a genoa's capability to deal with gust response, ..on this page
http://www.boatdesign.net/forums/sailboats/aftmast-rigs-623-40.html
To top it all off a stayed sail has the wrong dynamic response to gusts. Once a boat is sailing at its design speed we call it powered up. More wind does not make the boat go much faster, it just heels a mono, or drives the lee bow down on a multi. This is where the sails need to be de-powered. This usually means making the sails flatter (reducing camber) to control heel and keep the boat on her lines. When a gust hits a stayed sail the load on the sail go up. Something has to give. The stay stretches - adding MORE camber and power just when you need LESS camber and power. This requires you to ease a sheet or make some other trim adjustment to keep the boat on her lines. A sail set on a flexible mast can be designed to have the correct response. A gust hits, the loads go up, the top of the mast bends and flattens the sail below the hounds and opens the leech above the hounds ... drive is maintained and the boat does not heel past her sailing lines.
I can't find the other similar postings that all criticized the lousy capabilities of the tops of these headsails to deal with gust, but there were some number of them.
That prompted me to bring up the fact that the Gunboat G4 was able to release the pressure on their code zero/genoa so easily, while not being able to fully release their square-top mainsail's contribution to the flip. I imagine there are some number of other cases of multihull capsizes that might have been prevented had the vessel had a masthead staysail in lieu of a tall unreefed mainsail.
Watch that video one more time, then tell which sail contributed the most to that capsize?
https://vimeo.com/125378004