All this threading is way more complicated than you think when it should be efficient.
MOSEK version 9 employs Cilk for threading and the number of threads displayed is the number in the Cilk thread pool.
If you set
MSK_IPAR_INTPNT_MULTI_THREAD=MSK_OFF
then no work is send to the Cilk thread pool and all work is is performed in the main thread.
Mosek version 10 will no longer employ Cilk but most likely oneTBB. This will allow for a more fine grained control on threading.
Although there will still be a thread pool.