In Chris White's book, The Cruising Multihull, he did do some analysis of sailing related fatalities. The majority of them were due to MOB situations. The percentage of MOB situations per capita was significantly higher on the monohulls, than it was on the multihulls, and I doubt that has changed much. It is far easier to fall off a relatively narrow boat that is heeled over 25˚, than it is to fall off a much wider boat that is heeled 5-10˚.
As for capsize... properly sailed, a large cruising catamaran is very, very unlikely to flip. The amount of energy required to do so is astronomical. This is especially true once you get above 35' or so in LOA, as the capsize resistance goes up geometrically with the LOA.
Monohulls also have to worry about the keel falling off...as evidenced by the Texas A&M Cape Fear 38 incident. I would imagine that the reason that multihull accidents get far more press is that the boats are generally found—where many more monohulls disappear a year and are gone without any trace. A few examples of monohulls that disappeared without a trace: Jim Gray, on his 40' sailboat; Flying Colors, a 54' sailboat lost off the coast of NC; the 22' sailboat Cali, lost in upper Galveston Bay; Bugtrap, a Catalina 30 out of Dana Point; Takaroa II, a 30' Tahitian Ketch; Free Spirit, a 41' that sailed out of Newport, etc.
Now, as to using speed to avoid weather systems... I don't think the speed of the boat really helps to avoid a weather system that is headed for you, since the speed difference isn't usually all that great. However, the faster you can make a passage, the lower your chances of getting clobbered. A wise sailor I knew as a kid once told me if you have a 10-day passage with only a 10% chance of gale force winds...expect to spend about a day in gale force winds...
The faster the boat can make the passage, the shorter the exposure to heavy weather. However, you can't give up speed for seaworthiness.
As for righting an inverted multihull. Yes, it can be done and doesn't generally require a crane to do so. To right a cruising size multihull, you generally need to rig a bridle and right it fore-and-aft... bow-over-stern. Many cruising size multihulls have a fairly useable cabin, even when inverted. Farrier actually has designed a survival berth into some of his larger designs, which is to be used if the boat inverts. One major point about inverted multihulls is that they are far more visible to rescuers than a tiny life raft, and often far safer and more stable. As to whether food/water/electricity are available in an inverted multihull, it depends on the design and how you stored supplies. If you think an inverted multihull is wet, you've never been in a liferaft... I've been in one during a liferaft demo, and they're pretty wet inside...unavoidably so, since they tend to be of fairly low freeboard and relatively unstable.