Good precaution. However, it isn't the mice that are the problem, it is their dried feces - which, like asbestos - deliver particles through the air once disturbed. Of course, I'd suspect that dried mouse bodies would do the same.
True the mice were dead or gone, but their urine and feces were all over including into boxes of my college books and papers and other assorted boxed material. Like dogs, there were certain areas along the floor and baseboards that had high concentrations of waste. Before disturbing them, I sprayed with a 10% concentration of bleach. The use of an APR required fit-testing following medical clearance to wear one, which is standard procedure for use in a hazardous location.