The exposure he'll have to either will be very low. The respirators you selected will certainly filter out the majority of airborne mold spores. They are not, however, technically designed to filter VOCs (chemicals) like those given off by the cleaner. However, the exposure, again, is going to be very limited and the quantity of VOCs released will be very low.

Those masks will capture a couple portion of any airborne contaminants. Will they capture all contaminants? No. But no "dust mask" will. You would need a tight fitting respirator with organic cartridges such as: https://www.amazon.com/3M-Facepiece-Respirator-Respiratory-Protection/dp/B01CSPTIFW

The bottom line is that the exposure here will be very limited and any respiratory protection will help. Does he wear a respirator when spraying household cleaners?