Dont think he would agree, wasent there a time where he went "sane and couldnt hurt a fly." When harley highered someone to kill him that didnt snap him out the only thing that did snap him back was Harley kissing batman infront of him.
maybe if harley is allowed a trinity with her mista j and ivy - but then ivy would have to be okay with harleys sweet'ums touching her too. - lol, im sure theres a whole tree of trinities that could be branched out/created.
...that is kinda funny though, how there seems to be so many trinities if u think about it