I like it!
My opinion:
The jump cut of Anakin landing on Zam’s speeder would be funny and appropriate I think, but it would be better to give some visual continuity on the Obi Wan-Grievous fight since it’s later in the movie at a more serious time.
I would keep Dooku as a Sith or at least a fallen Jedi for the sake of convenience. This would just mean leaving in his part in ROTS.
How will you handle the time transition between AOTC and ROTS?