Hmmm... Georgina Chapman is a BAFTA award winning actress, so... I personally find Lyta, dynamic, complex and the actress has managed to give Lyta depth in a really powerful arc of star-crossed love, a fall from grace, incredible pain and torment and finally redemption.
I once had a really engaging conversation with one of my friends (a tv showrunner) about how powerful tropes and stereotypes can be in writing and how sometimes similar actresses (to Georgina C) are referred to as boring and bland when they don't embody the sassy sidekick role like they've usually been relegated to play.
I remember Gwen from Merlin (played by Angel Coulby) was characterized similarly. I remember reading a great article about that - about how it's so unusual to see a character embodied by a black actress be allowed to simply be "sweet" and "nice" instead of the usual sassy spitfire stereotype we've been ... treated ... to for so long. Sometimes if those characters aren't "sassy" ... to some they sadly become "invisible or bland".
Personally it's really nice to get a range of personalities for black women characters. I know a lot of writers sometimes feel they have to make their black characters "perfect" in order shield them from unconscious bias and racism (my friend and I talked about this specifically), but it's great that they've made Lyta complex enough to be nice and sweet, but also tough as nails and also flawed - she makes mistakes and isn't infallible.
I also love that she's given an interior life - like her mother has been too. I love that we got both Jayna AND Lyta - two great women. But I do believe that characters like Jayna are the "norm" for black women actresses and roles like Lyta usually aren't embodied by black women actresses. The norm is for those roles to be embodied by white women. And I think in general societal winds still rest more easily when the latter is the case. I'm really glad the producers and writers of this show haven't gone down that path and given us both a strong character in Jayna AND in Lyta, showing you can have variety in the characters you make available for black women actresses. I daresay Krypton has done a lot better with Lyta than The Flash has done with Iris (and I love Iris).