That's nice. How about this, though, since the script and commentary support it.
The Jedi Council are closing in on discovering the identity of Sidious, so Palpatine allows himself to be captured by General Grievous to halt their investigation - and begin the climax of the Clone Wars.
Anakin and Obi-Wan are sent in to rescue Chancellor Palpatine, who sees that the time may be ripe to test Anakin. Palpatine has become close to Anakin during the Clone Wars - his de facto "mentor" - and has observed that his intense potential and weak will may be exactly what he needs - as his ultimate apprentice.
But, Palpatine notes that "potential" is all well and good - but he isn't likely to reach it in the near future - so he decides to test his current level of skill, by pitting him against his current apprentice, Count Dooku - who is already an established duelist and capable Force user.
Palpatine's plan: Test Anakin. If he's able to overcome Count Dooku in battle, then he is strong enough to become his new apprentice. If Dooku defeats him however, Anakin will not yet be ready - and he either will be killed or Palpatine will have to wait a little longer before converting him.
Of course, Dooku would never accept this - so Palpatine deceives him into thinking that, should Dooku be beaten, Palpatine will use his powers as Supreme Chancellor to grant him amnesty. Of course, if Dooku is beaten, Palpatine will have Anakin kill him. After all, the Rule of Two is still in place.
So. Palpatine sets Dooku up against Anakin. Obviously, because this is a test - it would do no good for Dooku to be "faking" or for Dooku to be "holding back" - as this encounter ultimately determines Anakin's current level of strength.
So, they fight. Dooku is able to hold his own against Obi-Wan and Anakin (who is thinking like a Jedi - and not using his aggression). However, as the fight progresses, Obi-Wan and Dooku get tired - as Anakin, in contrast, becomes stronger. So, Dooku realizes that he has to take Obi-Wan out of the fight alltogether so that he may focus entirely on Anakin.
Dooku does this, and is forced back as Anakin begins to call upon his rage and anger. Dooku and Anakin fight a little while longer, before engaging in a saber lock. Dooku taunts Anakin, which inadvertantly has the effect of having Anakin call upon his rage and hatred. He does so, wins the saber lock - and begins forcing Dooku on the defensive, using his strength and speed to move Dooku across the room.
Anakin then sees an open advantage, grabs Dooku's arms, disarms him. He has Dooku at his mercy, and Palpatine observes Dooku's defeat. Anakin begins to calm down - but Palpatine orders Anakin to kill Dooku.
Dooku is shocked, under the impression that he was to be granted amnesty if he was defeated. Anakin initially refuses, but then is ultimately convinced to kill Dooku. Which he does.
In the end, yes, Palpatine's plan worked. He finally got his prized apprentice - and got rid of an outdated pawn. And, as Sidious - he later tells General Grievous (who is concerned that the CIS will fail), that he has: "a new apprentice . . . one far younger and more powerful."
Which he gets.
Ultimately, the skill difference between Anakin in Dooku is not by much, and I do not dispute that Dooku may have superior Force powers than Anakin - but Anakin won, fair and square. If Dooku held back, it was not on Palpatine's orders.