vapilot2004 - EASA is very much in favour of 'stall training', which was made clear in NPA 2015-12 'Upset Prevention and Recovery Training' for FSTDs. NPA 2015-13 'Loss of control prevention and recovery training' mandates on-aircraft UPRT from April 2018 for ab-initio ATPLs.
F-16GUY - you are absolutely correct that 'Basic skills are very much transferrable'; UPRT schools teach techniques that are mostly independent of airframe type, and where there are material differences then they get highlighted and understood. Whilst there are clear differences between a swept wing airliner with underslung jet engines and a straight wing piston, any approach to stall will always require a reduction in alpha.
markkal - I want to highlight that spin training - recovering from fully developed spins - is NOT going to be mandated by the FAA or EASA. Aside from the fact that getting into a spin in an airliner is going to end badly, the training focus is very much on avoidance in the first instance and then recovery from the incipient spin only.