The game doesn't communicate that as a goal in any way does it? I know people try to, but like it doesn't tell you to in the "how to play"... It doesn't tell you to solve it in any particular order at all...
Does it give you any indication you've done something special if you get them in reverse difficulty order? I understood that to be a thing people decided was their goal, not the way you're supposed to be playing and doing otherwise is playing it wrong... 😅
Anyway. It does tell you to watch for things in other categories. I just thought that didn't include entire complete sets of four that very clearly all belong together. Clearly I'm wrong and the designers consider that to be a part of the puzzle 🤷♂️