This moth species originated in either Europe / the Mediterranean, or Africa. It has spread worldwide. Thus, it is an invasive species. Introducing other invasive species as part control can really backfire.

Classic example being the Cane Toad. [1]

[1] https://en.wikipedia.org/wiki/Cane_toad#Australia

This is being tried: https://en.wikipedia.org/wiki/Chrysoperla_carnea

However it seems hard to get them established.