Honestly her going off so much about the very minor lie, especially given that YOU were up front and told her that you initially lied (she didn't catch you in it, you told her up front), and why you lied, to me indicates that it wasn't the lie she had the main problem with. It was the schizophrenia thing and she was just looking for an excuse to break things off without seeming an asshole for rejecting someone for a mental illness.

Don't give up hope though. My partner has severe mental illness, he has hallucinations and delusions (he's not diagnosed schizophrenic but he has many of the symptoms) and I love him more than anything, he's my soulmate. You will find your soulmate.

Maybe to help ease people into it, you can tell people about idk, A Beautiful Mind? I know it's not the best representation of schizophrenia but it does show how people with schizophrenia have qualities that more than make up for their mental illness, to those who truly love them.

I wouldn't change a thing about my love's neurodivergence, I only want his suffering to go away, but even now that he's majorly improved and had a huge reduction in symptoms, he still sees the world very differently to the average person, but that is part of what makes him unique and I love him as he is. So don't be ashamed of being schizophrenic. I wish you all the best in your search for love. <3