If someone has the flu and they wash dishes with their hands, can they pass their germs through the dishes?

I have no idea how to ask this. But settle an argument for me if you can. If someone is sick and they are washing dishes with their hands, using warm water and detergent, can they pass the pass bug on through the plates they have touched? Seems unhygienic to me – I would say potentially so why risk it – she’s saying there is no way in hell. – Anyone know who’s right?