[Misdicorl]

The path integral formulation is the most prevalent and successful version of quantum physics (this is what you describe in the second half). Non locality is different; it supposes that there are hidden mechanisms we have not uncovered (and may but be able to uncover) instead which describes our world. It must be non local to get the observed experimental results. Non local means data about the universe is teleporting faster than (conventional) causality allows i.e. the speed of light

[longtom]

Either case seems to require faster-than-light or instant communication between alternative paths that are being tried out, so the distinction is whether the combination of different paths is mediated by another faster-than-light (non-local) particle or whether the combination is axiomatic to the laws of the universe without a particle mediating it?

[Misdicorl]

No, the path integral formulation does not require faster than light communication. Time is an explicit parameter