Applying a production paradigm rooted in the patterns of the past (factories) is foolish. Factories automate repeatable process, where each repetition produces a unit of value. There is nothing to repeat in software.

The configuration capability of factories is only there such that you can then go on to run the repeatable process. No one would build configurable factories if you were only going to run one unit.

With that out the window, the factory analogue breaks down entirely. Think of something else.