The statement that best compares the absolutism practiced by Louis XIV and Peter the Great is:
Louis XIV created the illusion of absolute power, while Peter the Great was closer to a true absolute ruler.
This is because Louis XIV, while presenting himself as the absolute monarch (e.g., through his famous saying "L'état, c'est moi"), had to navigate significant political intrigues and relied on a bureaucratic system. In contrast, Peter the Great implemented more direct control over all aspects of governance and sought to modernize Russia, consolidating power more effectively.