Yep, but vertical is a big advantage. The closest floating analogy I could think of is an ocean buoy: These do rather nicely at surviving hurricanes and big waves. They are tethered to the bottom with considerable slack.
There are more ways to sink a vessel. For example, if the distance between waves is roughly equal to the LWL (length water line) of the vessel, it could get into a situation where only the bow and stern are supported by the water, with everything in between resting on thin air. This is likely to break the back of vessel. I vaguely recall that this has happened to ore carriers in the Great Lakes region.
Yes, but the pylon and turbine do not rest on a hull. The turbine does represent something of a sail, but that can be feathered (deployed in line with the wind). It's unlikely to broach, because there is no "side" of the vessel to knock over. Try it yourself. Take a plastic soda bottle. Glue a weight on the bottom so that it floats upright. Put it in the sink and agitate the water to simulate a storm. I haven't done this yet, but methinks it will stay very much upright. If you try it with a floating and weighted PVC pipe, which displaces a smaller area on the surface, it should tilt even less than the bottle.
I'll vote for the "spar-buoy" concept.
More:
About 30 years ago, I bought a house because it had a large driveway that was suitable for converting into a boat yard for building a sailboat. The plan was to pay for everything with credit cards, and then sail off to some south seas paradise, leaving all my debts behind me. When that proved impractical, I traded some work for a Hobie 14. I rode that after work for many years, until the ladyfriends son wrecked it on the beach. I've been part owner of several other boats over the years, which I'm trying to forget.