Yes it is true. The FX 8350 is basically a quad with hyperthreading, 6300 a triple core with HT, ect.
It has nothing to do with hyperthreading.
A module has some of the same physical resources as two full-fledged cores normally would have, but some of the resources are shared between the two cores. So a module is something of a core and a half.
Hyperthreading is simply letting each actual core switch between two threads when it runs out of cache data (so it doesn't have to sit idle waiting for data from memory or storage).