The video Eric made has (IMO) opened the door to a new potential idea, which is that both obi wan and anakin end up landing in that CIS ship just by coincidence (since obiwan gets hit and can't carry on the mission).

This way, it could be made that GG is in one ship, and anakin and obiwan are in another ship which only carries dooku and the chancellor. So Dooku appears to be more the maing villain, and the lines "the mission, anakin, the mission!" and "Not leaving without you master" are not off the edit.

In a way, this is more matinee-like (personally, I find it the more matinee like, the more star warsy), having the heroes "find" the chancellor by accident, and it would preserve grievous character from acting like a coward in the ship. However, it's been pointed out that with the existing material, pulling this out might be hard and provide unsatisfying results for it could end up being a very confusing cut.

So, if anyone has any idea detailed enough (naming shots, scenes, lines and cuts) to make this work, I think it could be a great idea for the edit. (Only if Eric agrees, of course)

PS: Another thing to arrange to make this work is to establish somehow why they are heading towards GG's ship at the beginning if the Chancellor is being held in an unknown place. But on a second thought, if the Jedi were just chasing GG's ship just because (say, tactics of the battle) and find Palpatine onboard Dooku's ship, in particularly nice conditions for a prisoner, it would certainly give Obi Wan something to think, and it would add another meaning to the later lines "beware of you friend palpatine" and the consequent Jedi vs the chancellor plot, having the "sith revelation" more as an asset than as the pivotal point, which would be the chancellor as suspect of treason to the republic. But I see I might be flying rather high from the ground, which is the film material