Alfred as sidekick makes little sense on the basis that it undermines Batman's secret identity.
In the continuity we know, yes. This is a new show. A different reality. They can change things so that it does
And even if they don't, it'll hardly be the first time a secret identity was unconvincingly concealed. Both Superman and Clark Kent routinely and publicly hang around with Lois Lane and Jimmy Olsen. Both Wonder Woman and Diana Prince were closely associated with Steve Trevor. Both Green Arrow and Oliver Queen had the same distinctive goatee.
Heck, maybe they'll draw on the Batman Incorporated
concept from the recent comics, where Bruce Wayne is publicly backing Batman's operations. If Bruce can maintain his secret identity even with a clearly established link to Batman, then having his butler fight crime by Batman's side isn't any more impossible.
See, if you take the amount of effort you put into arguing why something can't
work and instead apply it to figuring out how it can
work, you can usually do so.