I haven't fallen over in a long time, but I am sure it will happen again.
I have moved away from alloy ones that dirty up the bottles to plastic ones, and yes, my CF frame has CF ones.
But, with the CF ones, I have to use bottles that are angled about 30 degrees from the vertical sides to the bottom so I can shoehorn them into the opening.
The cages are a tight fit, and bottles with a square angle from the sides to the bottom are a real bear to get in because I have to get a precise angle.
I have dropped the squarer bottles a couple of times.