Puzzle #147 - This Side Up (Curve Data)

I know I said I probably wasn't going to make another Curve Data puzzle, but it turns out the prompt for Logic Showcase 16 was inspiring. The requirement was to make a grid for any puzzle type that, when rotated, would also yield a unique puzzle with a different solution. My first thought was to make a Tawa with 60 degree rotation, but then I had this crazy idea that I just had to try to make, planning to fall back onto Tawa if I failed. It turns out, this actually won the showcase for my third win!

So if a Curve Data could rotate, would it

rotate like this...                                                                  or like this?

puzz.link interface