Expensive - Catamarans are expensive sailboats.
Catamaran or monohull for ocean crossing. The average cruising catamaran is big like really big compared to the average cruising monohull. Typically cruising catamarans will have a beam to length ratio of roughly 50 although many designs nowadays exceed the 50 rule of thumb. You can find a true blue ocean going monohull that will take you around the world and provide you with the comfort to live aboard for considerably less money than a catamaran of similar capability.
A liveaboard is about enjoying your house on the water. The difference in living accommodation between say a Lagoon 410 and a Bavaria 46 cant be overstated. Most ocean capable catamarans are also more or less suited for living aboard.
Not only is each space galley cockpit cabin and heads bigger but there are more of them. Sailing flat has definite advantages. If you are into SCUBA diving carrying tanks and all the assorted equipment is.
This could be a reason why the average live aboard will choose a monohull over a catamaran. Under 40 or 50 feet Catamarans can look big but they really dont have much interior space unless the. We do have a lot of space but because of weight considerations we cant fill it all like on a monohull.
Like so many questions it depends. Most catamarans do perform quite well in open waters and are regarded as safe vessels to be offshore. This is especially true with large catamarans with big hulls.
Which is true most of the time especially at anchor but a catamaran is not immune to big ocean waves or annoying wake. Thank you for the replies as I like the space provided by big cats as apposed to the safety or security of monohulls. In contrast a catamaran made for hardcore sailing is more about speed and excitement.