Is Heathcliff A Byronic Hero?

I am defending the claim that Heathcliff from the novel Wuthering Heights by Emily Bronte is a byronic hero because he shows conflicting emotions or madness when it comes to Edgar and his sister and he has a mysterious and troubled past. Heathcliff has conflicting emotions or madness because he is only trying to protect his Catherine, his only true love. However, Edgar is a person that will always come against Heathcliff and Catherine and that is why his character acts out. There is a scene in chapter 11, where Heathcliff, Catherine, and Edgar are all together, Exchanging some words with each other; When Edgar, says something to Heathcliff where it provokes him so much that Heathcliff strikes him. “ The fellow approached and gave the chair on which Linton rested a push. He’d better have kept his distance: my master quickly sprang erect, and struck him full on the throat a blow that would have levelled a slighter man.” (Pg.112) This act of violence is explains the notion that he has conflicting emotions. Another thing is when Heathcliff and Isabella are together at Wuthering Heights he tells her that she will be Edgar’s proxy in suffering, because he believes that Edgar is the cause of Catherine’s illness. Heathcliff’s love and protection over Catherine contributes to why he might be called a Byronic

Now that I have talked about why his conflicting emotions or madness may make him a byronic hero, I will now begin to explain the reason why his mysterious and troubled past helps his character to be a byronic