I have a canoe sterm ship, a 36 ft Union Polaris. It made an Atlantic crossing.
Most flat-sterned cruisers have more room and light aft, are often blessed with an aft cabin, and are better for families. They are certainly easier to board. Most really don't see a big following sea often, so it's not much of a disadvantage. Beware of wave slap when at
anchor with the low overhang. It can drive the sane insane.
For me the canoe stern is prettier, and probably more stable in a really big folowing sea. They are often blessed with a near-full keel, which helps enormously. For me, full keel is where it's at. They tend to be slower in light airs, and heavier, and the big keel not so good to weather.
I have never sailed heavy weather in a flat sterned ship, so I cannot really compare them.