No absolutely not. Grevious was not like Dooku and Sidious as he was actually trying to destroy the Republic, the same way Nute Gunray and the rest of the Seperatists Council were.

The answer is yes. Grevious gravitates towards power and cruelty, and would have been a useful tool in the hands of the Empire. That being said, I don't think the Empire would have allowed him to live in the first place.

I guess so, because the Empire was hunting Jedi, and Grevious hated the Jedi, so he would probably join the effort and be some sort of secret agent.

No.

Joining the Empire would give him good Intel on hunting down more Jedi, included his enemy, Kenobi.

Probably not

While he was loyal to Dooku and Palpatine not sure if he would fully be needed

And since the Droid army was being shut down not sure how Grievous would have felt

Letting Grievous join would be a very bad image for the Empire. Even if he had wanted to join, which I doubt, he wouldn't have been allowed to.

Posted in the wrong board. Sorry!

Of course he would join, if palps lets him keep the lightsabers of any Jedi he kills boom now they have most motivated inquisitor. he would probably leave once they ran out of lightsabers though.