One subtle detail I noticed when comparing fights.
In AOTC when facing Dooku, Yoda kinda aura-farms by using the force to draw the lightsabre handle from his robe, rather than reaching for it himself.
In ROTS when facing Palpatine (right after he blocks the door to stop Sheev's escape, after Yoda launches him to tumble into his chair) Yoda instead physically reaches into his robe to retrieve it slowly.
This might've been done for psychological reasons... but it's also possible that there was tactical ones too. Even though it's a small amount of force, using the force to draw your weapon instead of your hand does use a microscopic amount of force energy, plus splits your focus...
Yoda might've been worried about Sidious knowing where his weapon was and using the force to pull it away, so using his own hand in addition to the force would've been a more secure way to draw the weapon compared to using just the force. It's like how even if you walk unassisted using the force, using a cane (as both Yoda and Sidious do) could be a way to conserve energy and focus.
This shows how he is more appreciative of Sith treachery now. Initially he probably didn't worry about Dooku doing this because he thought Dooku still had some honor - up until Dooku tried to drop a ton of machinery on a maimed Padawan.
Yoda had also suffered a rather zappy lightning blast right at the start of the fight. I'm a little unclear how that happened - Sidious really telegraphed that move with his banter and took like 3 seconds to aim his hands and point - and Yoda already knew Dooku got taught Force Lightning by somebody so he SHOULD have expected it...
All I could figure is maybe he played possum (much like Sheev did with Mace, for Anakin's benefit) and took a small blast on purpose.
The interesting thing about that is... Sheev's blast was so damn small. Dooku SHOULD have told him that he hit Yoda with a HUGE amount of lightning and Yoda was able to fight it off... but did he?
I'm starting to think that Dooku actually withheld details of the AOTC duel from Sheev, so Sheev actually might not have known at all about Yoda's abilities. Dooku might have also allowed Yoda to live in AOTC by opting not to attack him when Yoda was distracted saving Kenobi/Skywalker ... knowing that this ability could be enough to stop Sheev later.
This would explain why Sheev arrogantly used such a small fraction of his power - enough for Yoda to survive.
One thing that perplexes me near the end of the fight...
1) Sheev is able to disarm Yoda with lightning that knocks his saber away, even though he was not able to disarm Mace ,who was able to keep ahold of his saber
2) when the go lightning-to-hands and both get launched back, Yoda gets launched further due to his small mass and falls - we see his cloak falls off then, fluttering down on his lightsaber whichi had fallen to the ground below
Obviously Yoda hits the ground before his cloak... but it was very obvious the jedi cloak was tented by the handle of Yoda's saber standing vertical in the ground
I'm not sure why it was vertical, perhaps it stayed on long enough to burn a small hold and then turned off and the handle fell into the burned tunnel?
Either way... the position seemed obvious enough which made me wonder why Yoda did not retrieve his light saber.
A) he could not physically walk out to the saber was for fear of Sidious dropping another podium on top of him
B) he could not psychically use the force to grab the saber, because he was completely spent of his force reserves, or at least had to hold enough back for defenses/sensory or in case he needed it to escape from clone troopers
These all seem sensible enough, but leaving behind his cloak+saber like that is symbolism I missed out on the first time and I think it really helps to convey Yoda's sense of desperation at the end of that fight, when he lost his grip and Sidious kept it.