What's going to be used to heat the palladium to 360C? What will power the Stirling engine during the majority of the time when there is no effect?
A storage battery, of course.....just like your car (or, more precisely, like a Diesel truck). And you are ASSUMING that "during the majority of the time...there is no effect".
I suspect that during a "startup cycle" that they will run the Stirling generator "backwards" giving alternating pressure waves from the driven piston, while simultaneously heating the active fuel area with a resistance element.
I guess you "failed to see" the slide that indicates the groups plans to actually RUN a Stirling engine test bed with the CF power source.