JBE's case doesn't rest in the courts, it rests with the census data. If the AA pop is high enough, he's going to make the case that AAs deserve 2/6 rather than 1/6. Presently AA pop is near 33%, and NOLA rebounded hard after Katrina, but the AA pop in the belt is shrinking, like everywhere. There's a few ways you can draw that second seat, but it always involves going from BR to Caddo. This is less a case for common cause and fair Redistricting groups, and more a case for NAACP. I'm going to have a LA thread up tomorrow if JBE win, but the simple explanation is that this is going to be a battleground, no matter if the GOP has a supermajority or not.
It's also possible to draw a black district with Lafayette+Baton Rouge and then draw a non-majority Black New Orleans district which would still very likely elect an African-American.
I think this is the much better option for Democrats long term.