Kind of makes sense if you consider those events as canon that all Anakin needed was a nudge over the edge from Palpatine to get him to turn although alternatively him believing that the Jedi were keeping secrets from him that he could've used to save Pe would really be reason enough in and of itself, especially considering how consumed and motivated he was by his own feelings.

Personally I think he already had more than enough reasons. Whether Palpatine was there or not Anakin was already on the Left Hand Path long before Palpatine gave him the excuse he needed to actually turn. He was already there, he just hadn't acted on it yet until his massacre of the younglings.

The dude’s name is pretty much an open license to take money from my wallet. I’ll see any movie whose set he walked past. If you’re looking for range he’s not your guy, if you want a couple of hours of the greatest action you’ll ever see though, Turkish is your man and if you know what Turkish means, you know.