if so, will he be fooled if people coat the the male mouse with female scent ?
Not entirely, because the male mouse will still have its own scent (might even initiate some aggressive behavior if one male perceives that the other male has been with a female he "desires"). But, you can put the male mouse into a cage with bedding soiled by the female to start the arousal process, even without the female present.
Are you sure you want to make this generalization? You've made an assumption that the original mouse is male.
There is only a 50/50 chance that is true.
Females use scent too. A female mopuse will even abort a foetus if she changes partners, based on the difference in smell in her new partner and her old one (and a hormone he secretes).