Anakin actually turns to the dark side because Palpatine promises to teach him how to return to monke

“He had such a knowledge of the dark side, he could even return to monke”
“He could actually return to monke?”
“The dark side of the Force is a pathway to many abilities some consider to be unnatural”

“I will do whatever you ask”
“Goooooood”
“Just help me return to monke”
“To return to monke is a power only one has achieved but if we work together, I know we can discover the secret”