I have heard more than a few US scare stories from pilots trained there!
Those stories are invariably spread by the UK establishment i.e. UK schools (who obviously hate the US training option), the CAA and its various associated bodies, NATS, some UK/CAA trained commercial pilots who have been through the gold plated European mill and regard themselves as superior, etc.
I suggest that anybody who believes this cr*p goes up for a flight around the UK countryside and listens to and watches some of the antics which graduates of the UK training system get up to, and listens to various ATCOs tear their (remaining) hair out.
FAA training is plenty rigorous enough. There are differences but these rapidly become insignificant as one gets up there and starts flying around. I had the learn the "US radio" stuff for the IR but forgot all about the differences within a few days of coming back.
The radio differences (and knowing their exact meanings) are in fact far more important when flying IFR than VFR.