Earlier quoted context omitted.
For a Cat to work on mice it has to be a Mouser. I can't pretend I know the full theory of Mousers but it seems that females brought up by Mouser mothers in a mouse-rich environment are the best Mousers, since they are taught to kill from their earliest years.
They don't have to be all the good of a mouse hunter to lower the number of mouse sightings you'll have. Rodents have a built in fear of car urine and cat dander, so just their presence will deter mice.
I thought so too. But nope.