they offer a JAA and FAA PPL, and a JAR-Compliant PPL-Basic.
This is all marketing doublespeak. What they actually offer is an FAA PPL that can later be converted to a JAA PPL - no different from the FAA PPL available at every other flight school across the USA. The only difference with UKFT is that it is run by a UK FE(PPL) and so the process of converting the FAA PPL may be slightly more convenient.
Two things should be remembered: UKFT is not a JAA approved FTO and there is no such thing as a 'JAR-compliant' licence.