With Batwoman, the scene where they're talking about her injury and the way that interaction happens, I felt like you almost could've replaced Kate and her dad with Babs and Commissioner Gordon. (And I am admittedly bitter that Barbara seems kind of shoved off to the sidelines in all this "Batman Reborn" business.)
And while it is perhaps not entirely fair to say this, it kind of bugs me that these two heroes each apparently need to have older men helping them out in order to do their superhero-ing. I mean, obviously no (wo)man is an island and everyone needs support in some form or another, but if this were Vic Sage would he have an old dude helping him out like that? IDK.
In any case, it's nit-picky, and at this point it's probably too soon to judge and it does only bother me a teeny tiny bit.