IMO the way to draw a 2nd black district would be to have it as a swing district instead of a safe D district. Pretty sure the VRA doesn't allow that, but here is my take on a fair map for the 2020s:
https://davesredistricting.org/join/d4b013fc-3fbf-4c0d-a3bd-093466993813LA-01: Trump+48; R+27; (75% white, 16% black)
LA-02: Clinton+32; D+14 (47% black, 39% white)
LA-03: Trump+41; R+21 (68% white, 24% black)
LA-04: Trump+41; R+21 (67% white, 27% black)
LA-05: Trump+19; R+10 (55% white, 40% black)
LA-06: Clinton+3; EVEN (48% white, 46% black)
Basically you get a safe D district that elects a black representative and what's essencially a tossup district that, if it elects a democrat, it almost certainly elects a black democrat.
Worth noting that neither of my maps have the black districts as majority black VAP (they are 43 and 42% black respectively), though they should still elect black representatives regardless because of how voting is polarized. Plus that data is from 2010 anyways and things have changed?
In any case this LA-06 is most certainly compact and respecting communities of interest for the most part. It's problem is partisanship and demographics I suppose.
Also funny how LA-05 in this map is only 6% less black, yet it is Trump+19 compared to Clinton+3 for LA-06 lol
