Allan touches on a couple of good points.
Like almost all wood working projects equipment and experience plays a big role in how a particular bit of work, like bead and coving is approached. My first experience with making strips and doing the bead and cove was arduous and I was glad when I finished. Since then the production methods/experience and equipment used have changed and the task is really much easier and I really don't mind anymore.
Personally, the bead and cove does aid (IMO) in making secure joints and holding the strips together on "curvy" boats, on flatter designs or sections, the flat strips would likely be just as easy to use .... however .... realize that because something looks easy or easier, does not actually make it so, you will need to practice the method to be proficient. There is no replacement for the experience of having done something, read all you want, that gives you the idea, but doing a thing gives you the experience to actually make it work.
"It helps that I am not super picky" this is actually a very important point in the whole process. We don't all see the wood and the finish the same way. I would suggest that the whole debate of stapled versus stapless builds is predicated on that very point. You need to be mindful of how you see the finished work and whether it suits your style/vision. With flat strips, you have to watch both sides of a strip installation to make sure there are no gaps, you can have a tight outer and open inner. With bead and cove it is seated or not and is easier to spot an unseated strip (IMO).
Mixing strip type/widths is also a very effective building strategy for challenging curves/shapes ... using wider strips on flat sections, narrower on challenges. This is going to be a situational solution though, if you can make strips on the fly, it is no issue, if you have limited shop space ( like me ) then your strips are all made before you start. Meaning you have to plan the various strips you may want to use in the various sections and you mill them ahead of time.
Brian