Instead of spending many many thousands of $$$$ to not arrive exhausted (and FC/biz is certainly not a guarantee of sleep, its less than 9 hours with meal services, a movie you may effectively get 4-5 hours of sleep) just add a day to the trip and spend the first evening recuperating in a hotel (maybe near CDG as opposed to city center)
if you are a businessperson who lands and must run to a day of meetings then it may make sense