* Virus' have a high failure rate - many infected cells never go on to multiply.
* However, those infected cells may also not still perform correctly.
* If you have a good chunk of your cells in your body no longer performing their function, yet not dying and making way for replacements either, everything isn't going to work as well.
That would explain why it is a wide range of viruses that can all cause fatigue symptoms, and also why parasitic and bacterial infections rarely cause the same.
Technical term: Virus-induced senescence