Do not agree with the solution of the puzzle 8009

Puzzle 8009. The correct version like this:
1 Nf6+ Kg7
2 Nxe8+ Kf8
But, in my opinion, win more:
1 Nf6+ Kg7
2 Qh7+ Kxf6
3 Qh8+ Kf7
4 Qxb2 fxg4

That's a good line, but you get the same effect and get a LOT more material if you follow the main line.

This is the engine line after 2... Kf8:
3. Qd8 Nc5
4. Nf6+ Kf7
5. Qxg8+ Kxf6+
6. Qh8+ Kf7
7. Qxb2

That said, it should say 'Good move, but you can do better' for the alternate line.

2. Nxe8+ Kf8
3. Qd8 Nc5
4. Nf6+ Kf7 / Kg7
5. Qxg8+ Kxf6
6. Qh8+ *
7. Qxb2 { wins the queen in the end as well as other material }

Thank you. All clear. But the puzzle should continue to take Queen, and not, as now.

By the time you've taken the rook, capturing the queen shortly after is inevitable, so naturally the computer considers you to have gained the advantage at that step already. I do think Qh7+ is a good move that brings sufficient advantage for any opposing player to resign in OTB games, but alas computers' brute force finds the better line and considers it much, much superior.