Not the original maker of this image but it has helped me tremendously in learning new algorithms easily and bringing my time down. I used to solve it by cross, corner of cross, 2nd layer, 3rd layer cross, 3rd layer edge orientation, then finally the edges. Hope this helps new people learning the cube.
J perm is essentially just [R U R’ F’: T perm] ([A: B] means A B A’), so you can still derive T perm from J perm and a lot of other PLLs from T perm. And I think J perm can make predicting edges easier since the 2 edges that will be swapped are the 2 that you already see. I don’t use 2-look PLL but I use 2-look CMLL and I can easily predict EO (and EOLR if it’s a good case) after doing J perm.