No. Dooku is losing to Anakin one on one after he stops playing and BEFORE Palpatine amps him. Like I said it's only when he taunts Anakin he gets the edge.
Yes Anakin is overall more powerful than Dooku, technical skill doesn't matter when you're hitting like a truck.
There's a chance Dooku may have bested Anakin while he was distracted but it only says Dooku is toying with Anakin, not that he's putting heavy pressure on Anakin.
In any normal circumstance Dooku loses.