A Witness Marsh puzzle having more than one correct answer [SPOILERS]

I was quite confused because I believe to have an alternate solution to a Witness Marsh puzzle and this lead to me finally submitting and doing my first "cheating" and looking up a puzzle solution for Witness online. Which was too bad too because I was doing a good job of not cheating.

Here is the correct solution to the puzzle:

Here is the solution I had come up with, believe to be correct and started to make me question I understood the rules of the Marsh puzzles:

As I am playing Witness I often think about the developer of Witness and how he keeps one unique solution straight for many of these puzzles, a challenging problem for the developer for sure. So I understand if my alternate solution was just a "mistake" or an idiosyncrasy of the game where you have to believe you know the rules of the puzzles, and say to yourself, my solution is correct, there is just another solution, I must let go of my correct solution, and move on to find another correct solution.

** Caveat- And I also understand the some puzzles do have more than one solution, or at least I have seen one so far, in the Marsh to control the left and right direction of a platform but in that case you have a hit, the platform the puzzle is on that there is more than one solution to control flow.

Or, am I just wrong and my alternate solution is not a correct solution? My solution states that I can create 3×1 L shapes in any orientation, both my L shapes "point down". One 3×1 L is the "big spoon" of another 3×1 L and that other 3×1 L "spoons" the 3×2 grid: