The actual truth was that she wasn't willing to kill herself, but was coherced to die with Uryu. It was the version she said to the police too, because the incident reached the local press. She was crying a river when Akira caught them before Uryu pushed her to the river too (ch. 104). Yuko even told Akira if Uryu was rescued, he would've ended up murdering Yuko nevertheless (ch106).
Esemori basically hallucinated with a Yuko who was a teasing floating corpse, when in reality, she just wanted to live with Akira.
I don't think Yuko actually decided that she wanted Akira/Esemori to live. Shino'oka says "she really believed she loved him", and the twisted perception Esemori had of her.
I think that Yuko deeply wanted someone to "save her", to "fix things" for her, no matter how immoral and auto destructive they are.
She made Gen kill her husband as a token of love. There's no real way of knowing whether they had a good relationship or not, but she made Gen do it, because in her twisted mind, men "evil" things for her is what signifies love.
She is like, the complete epitome of Femme Fatale. She didn't want to die, but she made Uryu believe it, because if he was willing to kill himself out of love for her, then she was getting something out of it. She basically baited Esemori into saving her. Once she got what she wanted from Esemori, she didn't need Uryu, that's why she had no qualms killing him. But she clinged onto Esemori, because if she died, then what she did was for nothing. She could have told Esemori the truth, but she didn't , and let Esemori believe he did it, because she wanted him to have that idealized image of her so she could keep manipulating him. She lied because if Esemori believed he killed for her, then she could bait him into doing even worse things.
Shino'oka tried to tell Esemori, but he wasn't of right mind to accept it, and probably the trauma was too much to process it anyways. She told the press she was coerced, because 1- that way Esemori would believe even more that she was just defending herself, 2- that would reinforce the image of tortured soul she kept cultivating, 3- Uryu was a banchou, he probably had a bad rep even before.
What's worse is that I don't think Yuko did any of this intentionally. I think is normal to wish to be saved, but she craves in a absolutely twisted way.
She didn't want to be saved like Chako wanted. She didn't want someone to take her away or something. No, she wanted someone to destroy the town in her name. Like Uryu did when he started that fire.
She made Reiji believe he couldn't leave, so he would eventually do it himself. But then Nagi entered and she is the complete opposite of Yuko, and at the same time a foil.
Nagi doesn't want to die, but she also has no desire to live, and instead of someone who would do things in her name, she craves for someone who will make her do things in his name, and give her a purpose.
I think that in Yuko's mind, she would approve of whatever bad thing Reiji did, as long as it meant staying with her.
Like, she supports the teacher getting pregnant, because as bad as it would be, that would mean Reiji staying with her. Again, she wants someone to ruin their own lives in her name.
That's why she laughed at the book Esemori wrote, cause it basically proved that Esemori ruined his own life thanks to his obsession with her, one way or another.