I slipped my meaning a little; with only the minimums of aircraft, and safety equipment, the need for luck goes way up. I have crossed four times, and always felt just fine, well equipped in aircraft capable of carrying what was needed.
Two friends took a 182 amphibian across last August. It was major planning to carry the required safety equipment and fuel within the permitted 130% overgross for the aircraft. They did it fine, but I struggle to imagine carrying all of what was needed in an aircraft with much less useful load. I worry that pilots of lesser capacity light aircraft might short themselves safety equipment, and hope for luck instead....