Regarding a lesson in Master: Tactics

This post concerns "Spotting Tactics 2: Exposing the Castled King"
 I have listed the move's position below for reference:
The move played in the lesson is 1. Qb2, however, computer analysis (stockfish) suggests that 1. Qc1 or 1. d6 is better. [ +3.79 vs. +5.13 or +5.13]

REGARDLESS, even if we played 1. Qb2. Black's response should have been 1... Nc4, as I calculated in my mind, deterring me from picking 1.Qb2 since 1... Nc4 would seem to stop any immediate tactics towards the king.

Perhaps the lesson should be edited or a note should be added because BOTH moves are not the best.

1. Qb2 (the move used in the lesson): +3.79
1. Qd1 or 1. d6 : +5.13

1... Qf6 (black's response used in the lesson): +13.17
1... Nc4 : +3.79

Here is the position for further reference:

Sitting on the Bishop of the Bay.

Engine analysis is a crutch. You will never reach a level like mine if you don't learn to think for yourself.

I trust my analysis as it can not talk or show me how to improve using my style of play.