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Houseflies do not normally eat plant leaves so something else is probably eating your plants. Since your plants are indoors that limits the insects. Check the underside of leaves for common insect invaders such as aphids, scale, or whiteflies, that may have come with your plants. Those are sap sucking insects whose holes are likely too small to notice, however. Fungus gnats fly around plants but they are not eating the plants. Sometimes holes are caused by fungal spots that drop out.

You can safely spray basil with insecticidal soap. You also can place yellow sticky traps around the kitchen.

https://extension.colostate.edu/docs/pubs/insect/05502.pdf

https://hgic.clemson.edu/factsheet/less-toxic-insecticides/

https://www.gardeningknowhow.com/edible/herbs/basil/holes-in-basil-leaves.htm

https://www.gardeningknowhow.com/edible/herbs/basil/basil-diseases.htm

You are correct. This article is about African basil, not African Blue, which is a hybrid of two basils as you say. I will let the editor know.

Thanks for the heads up!