If Batman Had The Chance To Be Free of Joker Would He Take It?

[Castiel]

Joker is his most infamous villain and foe of Batman's and a friend of mine got to talking while watching another dark super hero movie The Crow. My friend talked about how Eric Draven losing his fiance and dying caused him to become the Crow and he made comparisons to Joker's Killing Joke origin and how in some accounts Joker tried to back out of the Red Hood gang's plot but they threatened his fiance's life (I think this was in the Hush story line it's been a while but I think I remember Riddler being a witness) any way my friend said "So what if Joker turned out to be like a corrupted/confused Crow and one day finally remembered his real purpose to seek revenge?" Now I know the characters belong to different companies or whatever but I think it would make a good non canon crossover story line and this was a really good question I think because Batman has been plagued by Joker so long I don't what he'd do if he learned Joker was some sort of supernatural avenger who lost his purpose some how or perhaps more likely Batman was his target and Batman's whole ideaology somehow caused Joker's confusion but to the point if it came down to it would Batman let Joker kill out of revenge or give up his own life (since in the version my friend referred to Batman's interference is what may have caused the deaths of Joker's fiance and unborn child) so would Batman let someone(either a really bad person or himself) die if it meant being free of Joker forever?

For those that don't know this is who the Crow is.