I think the solution to Puzzle 62517 is wrong

After white moves Qe2 the solution says that d6 is the best response for black, I think that is incorrect

I wanted to give another example to bolster my claim that this often happens
The difference between the strengths of the lichess move and the optimal move may not be gigantic here, I have seen much bigger discrepancies but I didn't write down the puzzle numbers

It only seems to effect moves by the opponent after the correct puzzle move is chosen

I wouldn't mind. In fact, this way, one can see even better the intended goal of the move (threatening things an capturing the Knight).

Then what do you think is the best move?

Nf6 Nd6#
f5 f3
Ra5 Qxe4
e6 Qxe4
Qb6 Qxe4

Responses on lichess puzzles are played by stockfish. So generally it is the objectively best move. Sometimes the engine doesn't reach a high enough depth to find the optimal move but this is fairly rare.