Engineer
Major
What you have described above is the limitation of a ski ramp. It is not an advantage.The advantage of the ski ramp is that you leave it at about two third of speed necessary for a straight cat.
So with the same acceleration the length of the cat and of the ramp is about half that of a straight cat. There's your advantage.
Having the same acceleration length as a catapult means a catapult can be put there to achieve launch without the need of your integrated solution. It doesn't highlight the advantage of your idea in any manner.