I won’t count these as 2 puzzles simply because as I was finishing the variant, the original was staring me in the face. But I suppose its still 2 for you all to solve 😀
For the 1st one, the numbered clues mean the same(the lights are still horizontally/vertically adjacent as far as clue cells go), and the global constraints of every cell needing to be illuminated are the same. Only change is, the lights illuminate in all 4 diagonal directions and NOT horizontal/vertical directions. Just to clarify, this also means that the indirect rule that no light can be horizontally/vertically adjacent to another light is lifted.
The 2nd one follows normal Akari rules.
Solutions here. Password – AM