IMO - no. How you present a lure - any lure - what it's rigged on and the retrieve, are the only considerations in my book. Fish generally aren't in a feeding frenzy and lures provoke aggression from neutral fish. Worms or soft sticks and other soft plastics, unlike spinnerbaits and crankbaits, are designed for a slow irregular retrieve that fish get a good look at before striking.
Talk about flat sides. The French Fry with its four, flat sides is just as effective as a round or semi-round stick. I attach French Fry segments to various tails which get bit by many species of fish. Round or semi round grubs or worms are overrated in my book.
As far as natural looking, how many lures that you've caught fish on were natural in shape or action. I stopped pretending years ago that it mattered and now strictly focus on whatever it is about a lure that caught fish - action and shape.