PFOF does offer price improvement, which can effectively decrease the spread *for a particular marketable order". However, PFOF drives volume away from the limit markets, which determine the actual spread by which price improvement is measured against. So, it's a bit of a shell game.
Concretely, at least 20% of all stock market volume is internalized in PFOF-style firms (citadel, virtu, et. al). If that volume were all on the lit exchanges instead, the spread on those exchanges would be narrower on average.