Some people really missed Anakin’s first question as suited Vader “where is Padmé? is she safe? is she alright?” and then his anguished scream when told he killed her. In the RotS novel, he thinks about how this hurts, burns more than the lava. That he loved her, he will always love her—he could never will her death!
He was still actively Anakin before being told about Padmé’s death, and was truly sealed into Vader after it. His love for her is what blurs boundaries between Anakin and Vader—the love that is the bit of goodness still remaining in Anakin through the years and the thing Sidious couldn’t destroy.
Anakin left behind everything deliberately when he turned to the darkside to save Padmé. Preserving her was his motivation because she was everything to him. When she was lost, all was lost. Clubbing her with things and people that didn’t work out for Vader as Anakin when she was the one he chose over everything—she wasn’t something that didn’t work out. The reason he hates himself is because he thinks he destroyed the person he ‘loves beyond love’. She was his everything that was lost! It’s the reason why Vader is an apathetic figure. Because connections are what drove Anakin. It’s the reason why he develops a connection with his abuser himself and stays subservient. Because there is no one to move him in any way. He doesn’t reach for power, for killing Sidious, for ruling the galaxy because none of it matters.
Until Luke comes into the picture. Pretending like Vader wouldn’t abandon empire and Sidious if Padmé comes alive somehow when as Vaderkin, he was already offering Padmé his head—and when he has already seen and mourned the consequences of not following padmé’s request—is certainly.. a choice (and not something that goes with ‘objective’ analysis as some Vader fans claim). Padmé and Luke parallels flew over their heads.
Vader is a pathetic figure who made the wrong choice to save the one thing that mattered to him the most, and then lost that very thing because of his choice. That’s the irony of the PT—it is the movies, it is the director’s commentary, it is in the creative commentary. Suited Vader is not Mustafar Anakin who believed he was reaching peaks of victory and about to gain everything. Suited Vader is the fallen Anakin.
“The thought of not being with you, I can’t breathe”, “Just help me save Padmé’s life, I can’t live without her”—the dialogues literally foreshadow the fate he ends up with without Padmé. Vader is defined by his grief for Padmé.
Anakin loved Padmé—as a person, as a jedi, as a sith, even from beyond the force. Stop questioning that to make your own favourite dynamics shine brighter for no reason.