Superman's decent, not great, box office makes me think that WB might push for a name actor for Batman here.
Superman movie had a full cast of unknowns. Hoult was the biggest name. The film didn't do well with the older demos, so a 40+ Batman might be the way to go. Especially with the Damian storyline.
Batman is generally played by actors who have been cinematic leads before or are on the verge of becoming a leading man for the studio (Keaton, Kilmer, Clooney, Bale, Affleck, Pattinson).
Personally, I would love Josh Hartnett to be the DCU Batman, checks off all the boxes. voice, height, physicality, maturity, name actor, and he seems to be making a comeback post-Oppenheimer.
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Different enough from Pattinson's 'young' Batman, which is also important.
This Batman needs to have a paternal presence to him. He has raised several sons in the Bat family. He may have even inspired Pom Klementieff's Huntress and other Bat-adjacent vigilantes.