In reply to Glyno:
As I understand it, synthetic fibres don't really benefit from tumble drying the way down might, even if not recommended for it (to prevent down fibres from clumping up). To the contrary, synthetics tend to have the best longevity with the least compression (which would include centripetal forces from tumble drying), while down actually does benefit from some physical shaking up (be it manual, as in shaking it by hand while drying out, or the tennis balls in a dryer). Down has nanoscale barbs that tend to "help" it clumping together, and any physical agitation during drying helps to release those barbs and restore their loft. Plus the natural fibres are generally more resilient against such physical agitation, unlike synthetics.
Think of down as inter-catching springs that need to be loosened to loft properly, while most synthetics are just weaker springs that only get tired and break from all the repeated compression cycles.
TL;DR: Down should be shaken, not stirred, while synthetics should be left alone.
The rationale for flat drying synthetics comes down to the baffle design, I think. Primaloft and similar are usually just some loose flat sheets of insulation not really bonded to the outer fabric, just baffled. The thinking being that when drying out flat, the sheet won't deform. That might obviously depend on the baffle design, but most synthetic jackets seem to be like that.
Post edited at 21:18