I had a cleaner after I had an operation for a few months. Before she took the job I explained what I wanted her to do and asked if she was happy to do it. Her tasks included changing the bed, dusting, vacuuming, cleaning one of the bathrooms, and washing the floors ( I have mostly wood or tile floors.) I paid her by the hour, for two hours, and she would just find jobs to do to fill up the time, including unloading the dishwasher and cleaning windows. She always emptied the rubbish bin and took the bags to the bin store on her way out. She was lovely, very kind, and I wish I could have afforded to have her forever! So no, I don’t think it is unreasonable to ask your cleaner to do the washing up, but it should have been agreed upon at the start.
I've got another 'keen'... Ouch!