A change in cowl will not happen publicly until Ben is officially gone, and he is currently The Batman.
The present Batman is still Affleck.
Affleck’s hesitation to commit is understandable, of course, given how the last four and a half years have gone.
According to the site’s sources, Affleck’s gotten far more than he bargained for with the Batman and the DCEU, which “is not what he thought it would be.”