There are 2 separate issues here - using the armour as a cpc, and using the armour as a protective bonding conductor.
The cpc is required for all circuits, a protective bonding conductor is only required where the garage/shed etc. has extraneous conductive parts (metallic service pipes or the shed itself is metal as in this case)
The armour of SWA can be used as the CPC in most cases, this is what those 2 tables in the wiki attempt to show, although those only indicate compliance with table 54G (54.7 in the current regs), and this isn't the only way to determine if the cable is compliant or not.
To use the armour as a protective bonding conductor, it has to have the equivalent conductance of the required size in copper.
Since the minimum size is likely to be 10mm copper, and copper is about 8 times more conductive than steel, you need steel armour of 80mm or more to be equivalent to 10mm copper.
Only cables of 70mm+ have armour of 80mm or above. The armour in all sizes below that is far too small to be equivalent to 10mm copper.
You would therefore require a minimum of a 10mm, 3 core cable with one core used as the bonding conductor, or a separate bonding conductor. Both of these will significantly increase the cost, particularly if the SWA cable being used was less than 10mm.
The cpc is required for all circuits, a protective bonding conductor is only required where the garage/shed etc. has extraneous conductive parts (metallic service pipes or the shed itself is metal as in this case)
The armour of SWA can be used as the CPC in most cases, this is what those 2 tables in the wiki attempt to show, although those only indicate compliance with table 54G (54.7 in the current regs), and this isn't the only way to determine if the cable is compliant or not.
To use the armour as a protective bonding conductor, it has to have the equivalent conductance of the required size in copper.
Since the minimum size is likely to be 10mm copper, and copper is about 8 times more conductive than steel, you need steel armour of 80mm or more to be equivalent to 10mm copper.
Only cables of 70mm+ have armour of 80mm or above. The armour in all sizes below that is far too small to be equivalent to 10mm copper.
You would therefore require a minimum of a 10mm, 3 core cable with one core used as the bonding conductor, or a separate bonding conductor. Both of these will significantly increase the cost, particularly if the SWA cable being used was less than 10mm.