There is a use for those profile design bottle holders. I have one of those on my beach cruiser (yes, to my shame I do own a beach cruiser) and even on that bike with the fattest cruiser tires you've ever seen, I can launch bottles on a rough patch of roadway.
The good news is that it is nearly perfect to hold a couple of 'tall boys' for those summer beach rides or late night
FBC adventures.
It would be a disaster on a road bike. Actually, it's much more difficult to reach back and replace the container under the seat post than it is on my frame holders. What's more, 10 Wheels, are you sure you want to clamp that thing on your carbon seat post? That looks like an opportunity for a very uncomfortable failure some day in the future...
+1 on recommendations of checking bike fit and core strength. If you can't take one hand off of the bars, whether in the drops, on the hoods, or close to the stem, something is definitely wrong.