Apart from the other reasons mentioned above, steel fiber can be used to control temperature and shrinkage cracks, but not reliable with flexural crack control. As to how it affects the compressive strength of concrete - it don't think it does. Have you seen steel fiber? They are not actually 'fiber' as in the sense of the fine thread-like fiber that we normally associate with the term fiber. I presume that's why you were thinking of how they affect the compressive steel. They are small rigid pieces of steel (at least those that I have seen).
If your foundation is thick enough and if the flexural load can be safely carried by the plane concrete, you can use it. But you also have to take into consideration the application of the fiber. Further, any moisture barrier can be punctured by the steel fiber.
Note: Fiber reinforcement has also been successfully used in 'isotropic bridge decks' which utilizes them only for temperature and shrinkage control - where no longitudinal or transverse reinforcment is used.