where is the proof?

this is my personal opinion and question to you guys.
i think kaname feels that yuuki loves him very much but no at that point that she will sacrifice herself if he dies.remember when yuuki first kissed him,how shocked he lookes like hey honey i wasn't expecting that.
okay so i think that kaname underestimates yuuki loves feelings.he thinks that if he dies in the battle,yuuki will think of him as a bad person who died because of his own follies and move on,with zero or not it doesn't matter.after all she will be happy.if he thought that yuuki can kill herself then he would make other plan as yuuki's life is the most important thing to him.
we as readers are aware of strong feelings of yuuki towards kaname but yuuki still haven't showed any big signs of her love.she has done nothing which shouts that kaname there is you and only you.i don't care about rest of the world.please stay here.when kaname took her back she said zero is in her heart as well,when kaname left she broke her promise not to drink any other person's blood though that doesn't matter after blood drinking is kiss only with kaname acc to hino.

its time for yuuki to shine and prove to both kaname and zero that the one yuuki can't live without is kaname.if by any chance she ends up with zero,it will be a huge failure and death of a character which could shine like a heroine,a true heroine who saved her love from his own follies.

I think that Kaname's plan was to push her away....Kaname's plan failed at this part > this failure perhaps can be the little window that he did not predicted > Yuuki managing after all of this to still be on the rescue

isn't that a proof?

If you remember ,the start of chapter 86 was a farewell of sorts from Yuuki . to Yori , Night Class , even Kaien Cross . Because Yuuki is really considering she would die if her plan to stop and save Kaname fails .

The reason is the sentence Kaname told her during chapter 52 . The one who caused a lot of controversy at that time .

Kaname : " I'll never ... let you go again . If I am to let you go ... I'd rather kill you myself ... or have you kill me . "

Sentences recalled later in 2 different moments . A promise Yuuki told Kaname to remember recently . Kaname's promise to never leave her alone as lovers . One Yuuki is trying to get why Kaname broke it . When it's obvious Kaname continues to love her .

Yuuki is seriously considering if she can't make Kaname return to her . To let him kill her instead . Because she didn't have the will / desire to kill Kaname herself after he left her . Yuuki can't live without Kaname .

Basically this insinuates Yuuki is seriously considering dying by Kaname's hands . If she can't make Kaname love her again . Stop Kaname from doing all that crazy stuff and save him .

this is what we know guys.kaname was not there when she said i belong to kaname,zero was not there when she said to kaname she would want to die instead of letting him go.these all proofs are what we as readers know.kaname and zero are still unaware of many facts.thats why i said kaname needs to know the strong feelings yuuki has for him and zero too,so that he can realize the unconditional love of yume.