Will assassin snails attack and kill my nerite snail?

I don't have the assassin snails yet but I've ordered some to help deal with my snail population in my planted 10 gallon tank. Now I already have a nerite snail in that tank but some people say that assassin snails will gang up on bigger snails and will kill them.

Others say they don't bother bigger snails. Should I move my nerite snail into my planted 30 gallon or will it be OK in my 10 gallon with the assassin snails