Seeing as the thread is about a ROTS edit the other films only become relevant in comparison.
This adjustment follows the line that Anakin gets the red eye when he is actually calling on the Darkside (anger, fear, aggression) presumably to a intensity significant to justify the eye change.
If this is to work he needs to get them when cutting off Mace's hand, raiding the Jedi Temple, all through his attack on the Separatist Council, when he chokes Padme and key points in his duel with Kenobi.
We see them when he is on fire which makes sense (well as much sense as the concept can make) as he is spitting hate at Kenobi and presumably calling on his rage to keep him alive but it doesn't really make sense for him to have them on the balcony after the attack on the Seps because he has had enough time to power down so to speak.
It would make sense if Dooku and Palps had them too when they were calling on the power of the Darkside and we'd have to imagine it happening in the other films to Maul (he wouldn't have them on all the time) Anakin and Dooku in AOTC and Luke in ROTJ.
Personally I'd prefer Maul to have those eyes because he is an alien (and just has different eyes to the Jedi bloke with the horns) and Palpatine has his different eyes because he is old and diseased and cut the Sith eye thing altogether but it's not my edit.