Comment by evanb

There are many equivalent formulations of quantum mechanics, the one the above post takes issue with is the path integral formulation. But because you can show an exact mathematical equivalence it makes all the same predictions as, for example, Hamiltonian evolution.

The words people like to use for the path integral is a sum over histories---that corresponds tightly with the ingredients in the path integral. So in this formulation it's what's "actually happening". But in other mathematical formulations other words are more appealing and what someone claims is "actually happening" sounds different.