Assassin snails and pond snails

Hello--

I have 5 assassin snails in a 40 gallon breeder tank with 20 or so Malaysian Trumpet Snails... I also have some pond snails that rode along with my live plants, unfortunately.... I see quite a bit small ones with some getting larger by the day..

I see my assassin snails catching and eating my Malaysian Trumpet Snails but I never see them snacking on the pond snails..

Will they start eating them eventually when the pond snails grow larger?