
Alright the Phantom Menace - so the whole reason the crisis was created was so that Palpatine could get elected Chancellor and ultimately seize power, right? Even though how he was going to do that originally with the Queen captured and forced to sign a treaty legalizing the invasion is beyond me. The Jedi showing up and rescuing her was obviously not part of his original plan but when she got to Coruscant it almost seemed to be because he got her to suggest a voting for a new Chancellor which we know was his ultimate goal anyway in the film.
What was his original plan if the Jedi had not been there to rescue the Queen and bring her to Coruscant? What if the Trade Federation had succeeded in killing the Jedi? Was he banking on them failing and thus hoping the Jedi would succeed and bring the Queen to Coruscant all along? Was Darth Maul and the blockade ships that couldn't blast them to smithereens just a smokescreen to hide the fact that Palpatine wanted them to reach the Senate? What was he planning on doing if there had never been any Jedi?
A better script of course would have gotten us into the mind of Palpatine and showed us his plans and his reactions to changes but we are expected to make broad assumptions supported by very little actual evidence or read the novelizations written by other writers.
I can understand that a good schemer can and should change his plans when things change and develop but none of that explains why Palpatine should care what happened on Naboo afterwards. He got what he wanted. Forget Naboo: it was time to put the purchase order in for those clones.
Anyway once the Queen does what Palpatine wants her to do in the Senate to advance his nefarious schemes she goes back to Naboo to fight the invasion. During this time offscreen Palpatine gets elected Chancellor. The outcome of the battle as far as I can tell had no bearing on his election so why should he have cared who won or bothered to have sent Darth Maul? This just makes Maul even more pointless than he already was. Palpatine got what he wanted already. If the Trade Federation won, he could have just used his Darth Sidious persona to tell them to leave or as the Chancellor declare the invasion illegal. He had no vested interest in the outcome of the battle since the crisis had served its purpose.
And if the victory of the Naboo was important to his election than why support the federation? Did he just want to get rid of Maul? None of his actions makes sense once the Queen (actually her decoy) made the motion to get the old Chancellor booted out. He didn't need to keep up his Darth Sidious persona since the Trade Fed had no idea who he was. He could have just not answered their calls from then on out.
And Maul, why did he waste time fighting the Jedi? Had he killed them would he have killed the Queen or captured her? And if so, for what purpose? Had the Federation won what difference would it have made? Maul served no purpose in advancing Palpatine's schemes since they had already been advanced by that point!
Again - GAH!

I figure someone here with their head full of fill-in-the-gaps novelizations and EU could explain why Palpatine cared about Naboo once he got what he wanted or why he would waste Maul on what had become a pointless mission by then or what his original plan was before the Jedi showed up.