Admittedly, my only prior experiences with the Batwoman character were the movies Batman: Mystery of the Batwoman and Batman: Bad Blood, but that doesn't surprise me. I don't read a lot of superhero comics, mainly just horror stuff like The Walking Dead, Crossed, and Stitched. Supergirl issues aside, the creative team behind the Arrowverse seem to be among the few who legitimately respect the source material judging from my limited perspective. I have my suspicions as to why Supergirl, unlike the other Arrowverse shows, is so woke, but I think that's way beyond the scope of this thread.
At least they didn't make Oliver wear that ridiculous Robin Hood cap, though. That's one deviation from the source I'm thankful for.