Most modern boats "can" survive the trip. It is not matter of size, but much more a matter of how the boat is fitted out. Things such as cockpit drainage, watertight compartmentation, how the hull to deck joint is constructed etc. all play a huge role in a boat's ability to take on blue water. My current boat is an O'Day 35, and while have been over every inch, and inspected nearly every nut, bolt, wire, sheave, turnbuckle and halyard, I accept the fact that she is a coastal boat. Her relatively flat bottom and shallow 4'6" draft make her ideal for the east coast and perhaps even the Bahamas. But, she can be very abrupt in her motion which is not very sea-kindly in 6 foot seas and would easily be unbearable in anything greater.
I would love to believe that my boat could cross an ocean, it comes down to whether the crew would be happy about it. With the right weather, crew and not just a little luck, boats far less sound than mine, or yours have made epic voyages. But you have to weigh all the information before setting out on any journey, and empirically look at your vessel, being able to trust in it completely. If the numbers don't add up, it doesn't make your boat any less proud, or you any less a mariner. It just means use the boat where she's meant to be used and enjoy the voyage.