I think dooku wins but not owns. After all, if douko owned anakin in a force fight, anakin would be beat by dooku's powers. In ROTS, after anakin entered "in teh zone", and just before he cut his hands, there was a 1 or 2 seconds scene, when anakin pushes dooku back with a lightsaber movement and looks at him without attacking. If dooku could overcome anakin's force defenses when he was focus on him, he would definitly use his powers in that moment.
Sorry but, wrong thread... Besides Mundi was damn tired, probably injured and grievous had "surprise and fear" on his side, so i think that if the fight had happened in other conditions, Mundi could have fought better. And even then let's not forget that Mundi fought Grievous for a while until the the CT arrived, who may have distracted him, causing him to lost his lightsaber. AND we don't know if that would be the end of Mundi since he could have dodged Grievous or pushing him back and recatch his lightsaber. So, too many what ifs...