I'm curious
@Christopher given your feelings about Supergirl do you think a new series like this
should be part of the Arrowverse or not?
As I've pointed out before, there are two different issues here -- being in the same in-story physical universe, and being in the same narrative universe. The Arrowverse is a narrative universe that includes several physical universes -- Earth-1, Earth-2, Earth-3, Supergirl's world, and no doubt others.
Black Lightning could be set on any of those Earths and still be part of the overall multiverse of the Berlanti shows.
I don't see a "should" here. This isn't a moral issue. It's a question of what setting works best for the show. I've already pointed out the potential continuity issue that might arise from an Earth-1 setting, but they might have a way to account for that. But Supergirl's Earth doesn't have those same issues, since it's had at least one active superhero for over a dozen years; plus it's an Earth that has plenty of room for adding new heroes. Then again, since The CW's president has said he's not interested in adding still more superhero shows to the lineup, the BL series may end up on another network, and that network's execs might want it to be set in a separate universe for the same reason CBS wanted
Supergirl to stand apart (because inter-network crossovers are logistically and legally complicated, and because they'd want the new show to establish its own distinct identity). So it might end up being its own separate world, and whether that world later gets established as part of the Multiberlantiverse (Bermultiverse?) would remain to be seen.