I doubt the Society would ever be so blatant as to directly suggest murdering anyone. But... it's not too much of a stretch to imagine that a JW only slightly more "off" than the norm might decide to kill a loved one who is going astray or maybe an apostate on the theory that "if they die before Armageddon they will be resurrected as one of the 'unrighteousness.' However, if they are destroyed at Armageddon, they will be dead forever. So the most loving thing would be to insure they at least have a chance at everlasting life."
So the "logic" goes... Sick! The sad part is that it's not that far-fetched. Especially with so many JWs (at least among the ones I know) showing signs of schizophrenia and bipolar disorder. Absolutely anything is possible when in the throes of a manic episode. I would bet dollars to donuts that this has actually happened in the past.
I'd be very careful being alone with fervent JWs who might actually buy into this theory.