I have been using mineral oil as a supplement to Apistan brushed on to the
underside of the inner cover and the top bars of the frames. I have yet to
abandon Apistan in favor of mineral oil exclusively in any of my hives.  The
primary observable advantage to me from the oil is things don't get stuck
together as badly. If it does in fact kill the mites that is OK too.
29 out of 30 colonies alive and well here in CT however winter is not done
with us.
 
Tom