Darth Subjekt
The beginning of the end.
I understand that not alot of people like Anakin, and thats fine, everyone has their own opinions and the rights to them. But the fact is, and i sincerely don't mean this in an argumentative way, Anakin IS the chosen one, and meant to be more powerful than almost anyone. I know that when he gets burnt up, he hasnt reached that point yet, but he would have. I think the Dooku fight was just a poor example of both fighter's power. They didn't want Dooku to look like a slouch since he was a badass, but they still had to convey how powerful Anakin truly was at that point. I think they got some things mixed up in there. And I may be wrong, but wasn't LOE written after ROTS? If so, that gives that particular author the freedom to play with the story as he sees fit, within reason of course, hence why its not canon.
I think that OB1 getting tossed aside was sorta symbolic with what Anakin had been saying all along, and thats that OB1 was holding him back. Being as Anakin did nothing impressive while OB1 was by his side, but when he was out of the way, and he had the opportunity to give in to some of his anger, he couldn't be stopped. Being as GL said Dooku thought he was just going to fight him, doesn't give any indication that Dooku knew to lose or go easy on him. But i will also say that it leaves room for speculation, to suspect that he may have been.
I think they made Anakin win seemingly "easy" just to demonstrate his raw power, but did i tin a way inconsistent of previous trends. Never before have we seen him demonstrate a skill level of that magnitude. And that could very well also have been why they did it, to show his immense growth since we last saw him. I just don't see the benefit to the Emperor of telling Dooku to lose or hold back if he wants to see where Anakin truly is power wise. He even told GG that his new apprentice was more powerful (via hologram).
I think Anakin would take this with moderate difficulty. I think he would be forced to revise his game plan seeing as he cant match physical strength with GG, so it would result in him having to use his mind to ultimately destroy him. Which I think Anakin is smarter than people give him credit for. He obviously doesn't always show it, but I think he's extremely intelligent given his abilities as a young boy. So if Anakin was calm and thinking clearly, he would take it, and I see no reason why he would feel flustered.