To each his own, but I don't see the need in throwing away WT publications when I see them in waiting rooms. If I take the time to throw away a WT I see, will I then throw away a booklet on Mormonism or Scientology when I see them?
While I accept that the WT organization is more cult than religion, I don't know all the circumstances in how that WT may have gotten placed there. Maybe it was someone's copy who was coming back...maybe the local dubs had arranged with the hospital staff to leave them...or maybe it actually was a sneaky dub upping his placement report and time report by running around leaving mags everywhere.
But in the end, I look at it as not my property, thus not my right to dispose of it.
Odds are, the average person isn't even going to pick it up to read. Some might out of morbid curiosity only to put it back and wonder why JWs are so stupid to believe that crap to begin with. The few, the very few, that might be intrigued enough to write the address on the back for a bible study aren't worth my time or effort to go on some crusade to save them.