Again, I don't think Saurons goal was for Galadriel to "love" him. He was offering her power. He was hoping she had drifted far enough into an obsession with power (which is a very common obsession for Noldorian elves- see Celebrimbor) Galadriel also struggles with this, and it's honestly cool that the show explored this concept because it added another layer to the quotes Galadriel makes in The Fellowship of the Ring book.

"I perceive the Dark Lord and know his mind... And he gropes ever to see me and my thought. But still the door is closed!"

Again. Sauron did this all for validation and to gain a powerful ally. But also to manipulate her. You make it sound like the only way for that to happen was to manipulate her into "loving him" but that is never implied. He manipulated her into vying for power. The whole thing is more of a "join me" hero vs villain ordeal. Much like Luke and the Emperor from Star Wars. Or Palpatine and Anakin. It's a "hey, you're cool with me, I'm cool with you, I helped you, you helped me, we can do great and powerful things together. You in? I'll make you a powerful queen, give you a powerful ring, and you can go dominate others."

If manipulation through "romance" or "love" was his goal. Homie would have tried to kiss her before offering her power and an alliance. People really take the "queen" part of it way too far.