There is only one species of pet rat ….. just variation in colour, markings, eyes, hair, size, and ear placement
Often a litter can have babies with all those different characteristics.
To my knowledge "dwarf" rats are rats that were created in the lab. To my knowledge they are the same species as other rats but have some different health issues because of genetics.
One breeder states that "the dwarf-gene is a recessive mutation that occurred in a standard sized rat. The mutation causes a decrease in the production of growth hormone resulting in a smaller size-hence dwarfism."
One breeder of an original line of dwarf rats in the USA, states that other pet rats will kill dwarf rats unless they realise they are rats.
So the answer to your question is yes, normal sized rats will kill both ASFs and dwarf rats.