Palpatine tempted Anakin with ways to save loved ones from death, but for that to be effective he must first know of Anakin's vision. How did he learn of it? I have doubts on whether Anakin had told Palpatine of it himself. Anakin knew his marriage is forbidden by the Jedi code, so he did not share the vision with even Obi-Wan, going directly to Yoda - the perceived wisest of the order especially in matters of visions and the Force - out of sheer desperation to protect Padme. He did not tell Palpatine about his marriage (Palpatine learnt of it from an informant) so I doubt he would consult someone who is at that point still portraying himself as a non-Force-wielder.

The only way, to my eyes, for Anakin to tell Palpatine about the vision is if Palpatine first displays a relevant, applicable knowledge of the Force - assumed here to be knowledge of saving one from death - but the only way Palpatine would deem it useful to reveal such knowledge in tempting Anakin while risking revealing too much about himself would be if he knows of Anakin's vision first. A circular logic here. What gives?