My experience with splines is that they are prone to "losing their mind" when parameters change too much.
I still use them parametrically, but you have to review the results carefully when parameters change.
The advantage, of course, is that so long as your parameter changes are minor, your downstream solids (revolves, extrudes, etc) retain their sketch profiles.
FWIW, I don't think of myself as anywhere near a serious Fusion360 user, but one thing I've determined is that you always want to start with parameter definitions. You'll inevitably discover more parameters you need once you start modeling, but you should always have a list of basic ones in mind when you begin. Just the process of thinking through that initial list has a way of clarifying the task in front of you.
Regarding control point splines, I do probably lean on them more than most. That comes from years of working in 2D graphic design (Adobe Illustrator) where the "pen tool" is essential. New Illustrator users often find that tool vexing as well, but once it "clicks", you can do all sorts of things with it.