The localization of enzyme is the one and only factor that creates the difference between

I have a assignment. It is illustrated like this,

There is a cell that has a localized intracellular enzyme. It divides into two distinct characteristic daughter cells. However, there is only one of the daughter cells gets the enzyme product so when the enzyme product is depleted from the mother or the daughter cell, it will be difficult to distinguish between the daughter cells. If we try to knockdown of this enzyme, it will give the result in the loss of the difference between the two cell daughters.

Question: Is it safe to make a statement that the localization of this enzyme is the one and only factor that creates the difference between the two cell daughters? If not, explain why?