You have copied an image that is directly under the
Ranged Attack (pg. 14) section, and is
only relevant specifically expressly for Ranged Attacks. In every other instance, when checking for Short/Long Range, the definition is covered on Pg. 5:
IN SHORT/LONG RANGE: When an effect targets a unit in ShortRange or Long Range, that unit is considered to be in range if anypart of its tray is within the listed range. Units are always consideredto be within range of their own effects and may target themselves,unless specifically stated otherwise.
The effect of the Crossbow checking Short Range is not a Ranged Attack, it is an effect, and subject to the rules listed above.