if you don't see the six line harassing the new fish and they end up dead, it is not necessarily the wrasse. a couple questions:
1) are you putting the new fish in QT before adding them?
2) are you carefully acclimating before adding to the tank?
3) are the dead fish marked up, frayed fins, etc. or not?
I had a six line for about three years in a fairly small tank with other fish (no other wrasses). It never bothered anything. Not new fish, not established fish. There was plenty of rockwork for cover.
This fish was kept with seahorses, leaf fish, orchid dottyback, a madarin and two blennies (not all at the same time). I never had any problem at all.