I have a logbook started in the US, meaning I have some dual flights as PIC etc. The thing to remember is this: Under EASA in single pilot operations, disregarding PIC/us - you only have two options: PIC or P/ut. One or the other. Add them together and you'll get TT.
As far as EASA goes, all you need to do is TT - dual = PIC.
As far as the differences between FAA and EASA logging, should there be a difference between acting as PIC and logging PIC, allowed by the FAA? Of course not, there should only be one commander and the logbook should recognise that. Should an IR training flight in VMC under the hood be a two pilot operation? Of course it should - because there is a requirement for someone to look outside. Under FAA they can both log PIC (daft), under EASA the safety pilot can't log anything (equally as daft)