It seems few at DC care about consistent characterisation and continuity. Batman shows up in a lot of titles and in most titles it's a different Batman
Writers are allowed to take creative liberties. Characterising him as they see him not as the character has been portrayed for decades. At times straight up ignoring or changing him to suit the story the want to tell.
The version @Coats seeks has been split. If you mix Synder'sJL/Metal batman, King's batman[ claims it's exploring THE MAN] and the Tec batman you get exactly that missing Batman.
It's vexatious [or maybe makes some sense] that the characterisations that distance him the most from what he once was are usually in his own titles or stories penned by his writers.