A spillage of cooking oil can be extinguished by Wet Chemical, I've seen it done, it's not going to be a flowing fuel fire, usually a bit of splash over.
With the dynamics of how these fires develop I'd agree that only one pan would be expected to ignite in a particular incident certainly in the 'first aid' stage.
Unlike the US who are a bit more strict with the need for fixed systems, portable wet chems there being only as a back up after discharge of the fixed, it's not uncommon for even large kitchens and ranges to have portable only cover so correct provision is essential.
A kitchen need only have a Wet Chem for the cooking area with a CO2 as well in the room for electrics (don't forget Wet Chems are A and increasingly as well B rated, plus have passed the 35kV test) I've seen some that have had a fire point with literally everything there - water, spray foam, ABC Powder, CO2, Wet Chem, fire blanket and an Ansul Pull Station - total madness!