Routing your queen via diagonals

I was reading the classic chess book "Logical Chess: Move by Move" by Irving Chernev, when I came across the game Zeissl-Walthoffen. The game reaches the following position, where black is already doing great.

If you notice, white's king is quite unsafe due to the black Bishop on f3. And while white is attacking Black's Queen-Bishop battery, and threatening to win Black's dark squared bishop once the Queen moves, there are far greater problems for white. The essence of the problem being the queen landing on g2 and delivering mate. Therefore white has no time to take the Bishop if the Queen moves to any square that allows it to get to h3 (and then eventually g2).

These kind of positions have occurred more than once in my games. The queen wants to eventually go to a square, but what's the best way to get there? The natural move that came to me in this position in Qh5 with an eye to going to h3, and then g2. But that's inaccurate (and apparently what happens in the game).

Going Qh5 allows the annoying h4 as defence. Now black is still winning here despite the inaccuracy, but it does cause unnecessary delays, and in some games that may be the decisive mistake.

The more accurate move would have been either Qf5 or Qe6, both of which attempt to get to the queen to h3, but via the diagonal.

Interestingly, there is a discrepancy between what Chess games says was played in the game vs what's there in the book. The book gives 14. ... Qf5 as the move, but Chess games has it has Qh5. I wonder if the book edited the move to give a more accurate move?