IMO depends on the wrasse in question as to whether or not they will act aggressively towards other wrasses. Pseudochelinus sp. (4,6,8, sneaky and mystery) can be absolute terrors to more passive species esp. smaller fairy and flasher wrasses. Likewise larger more pugnacious fairy wrasses can be brutal to smaller fairy's and flashers. Hogs (Bodianus sp.) tend to be just as merciless as the Pseudochelinus. There are SO many wrasses!
My favorites (and ones that live)...
Mystery (vanuatu ones get a rich purple maroon color not pink-purple color like Marshall)
Lubbock's (cheap, active and colorful)
Strawberry Fairy (rubrisquamis? docile and a beauty... will practically eat out your hand)
Possum/Arrowhead (Wetmorella sp. VERY shy but unique and some are gorgeous)
Cryptic sixline (Pseudochelinops... good luck finding one! I've only seen 3 come in... like a cross between a possum and a sixline... shy but a beauty!)
Ones I love but I have had a horrible track record with...
Laboutei fairy... very shy
Lineatus... every single one I have kept has developed a fungusy growth on the front of their mouth
Chaoti leopard... disappeared and never seen again!
Anything in the anampses family... best left in the ocean in my opinion.
Good luck!
Jon