You �re right. Domestic or household appliances are those pieces of electrical equipment which are used primarily in the home for cleaning and cooking etc.
Although computers are used in homes all the time nowadays, that was not the original use, or reason for their development. I would call them office equipment, or scientific or educational tools.
Here is part of an advertisement:
Electrical Appliances, Whitegoods, Home Entertainment, Computers, Televisions, Laptops,
This shows the different groups of items for sale.
Whitegoods are refrigerators, freezers washing machines etc. (usually big & white )
Home enterainment includes loudspeakers, amplifiers and projectors.