Red Hood's presence in Dimension Batman suggests that he is a significant figure in Batman's legacy, possibly even his true successor.
Batman has numerous candidates to take on his mantle, but DC's recent confirmation suggests that Red Hood may be the least likely candidate to inherit the cowl.
The Outsiders are on a quest to solve the darkest mysteries of the DC Universe, and one of the clues they find leads them to a dimension where they encounter Batman, as depicted in Outsiders #3 by Jackson Lanzing, Collin Kelly, and Robert Carey. This dimension serves as a training ground for the subconsciousness of Batman across the Multiverse, offering them valuable insights and experiences that contribute to their understanding of the Dark Knight.
Jason Todd has had several different identities in the DC Universe, including Batman's second Robin, Red Hood, and Wingman. While Wingman was one of Jason's most short-lived identities, it was used during Grant Morrison's run on Batman Incorporated and was not adopted by any other Bat-Family members.
Wingman proves Jason Todd could take on the Batman mantle in Dimension Batman, as he is the only version of Batman in this dimension that isn't defined by his pain.
According to the rules of Dimension Batman, this makes Red Hood Batman's true successor, especially given Wingman's place among the Batmen's ranks.
Almost every Robin has had the opportunity to be Batman at some point, including Dick Grayson, Tim Drake, and Damian Wayne's future self. Jason Todd is the only member of the Bat-Family who never had sustained time under the cowl, and while Wingman isn't technically Batman, he is the closest Jason has gotten, as he is the only Robin who has had a significant role in shaping his destiny.