(Spoilers for the arcs in question incoming)
In the climax fo Bruce Wayne: Fugitive, it is revealed that Lex Luthor ordered the assassination of Bruce Wayne girlfriend at the time, Vesper Fairchild. Recent events that occured in DC: Rebirth contradict the outcome of this aforementioned storyline, most importantly Dan Jurgens's Action Comics in which Lex Luthor becomes a superhero. If the Bruce Wayne: Murderer? And Bruce Wayne: Fugitive arcs respectively still occured in the Rebirth timeline, then why would Batman tolerate this?
Do note that I have not read Jurgens's Action run, but I have experienced Luthor and Wayne interact in the No Justice event, which arises my suspicions.