Puzzle incorrect, or I'm not good enough to see, or checkmate in one more move is "wrong"?

Not sure how to "call" a forum poster - is it like this?
@nadjarostowa
@glbert

These 2 posters in another thread said I was probably wrong when I think a puzzle answer is incorrect - I've been checking them more carefully, and yeah, mostly they're right and I've missed something. However for this one, I need education, because I can't see why Knight to A3 is any better than Knight to D2, both lead to inevitable checkmate. One fewer move required, well, I suppose it's an argument...

lichess.org/training/DYnRu

Knight to D2 is not a mate at all.

Knight in d2 is captured by Bishop, so the Rook is no longer hanging...

May we again suggest to check with the engine first... ;-)

Did you guys even look, or were you all too eager to tell me I'm wrong?
Knight to D2 is captured by the bishop, yes, then the bishop on D2 is recaptured by the other knight, it's check again, black king moves into corner a1 or white knight takes black knight on D2, then black Queen to C1 checkmate as in the "right" solution.
The only difference is an extra move.

oops, no you're all right, sorry. The absent bishop exposes C1 to the rook on H1.
Why are there no red-faced emojis on here? :-)

Even if your solution worked, a mate in 2 still trumps a mate in 3.

Thanks to the posters who pointed out that the puzzles are rarely if ever wrong - I've been more careful and have improved my performance on them as a consequence.

This one caught me out as well. Couldn't see why dxe5 was considered better than bishop to h4, and was grumbling about it, until finally I spotted that the black queen can't capture the last white rook without then getting pinned on the king by the bishop.

lichess.org/training/v1bQi