My face gets flaky when I wash it in the morning. Is Milkin Jessner Peel Essence okay?

I've heard that for facial exfoliating essences, products containing AHA/BHA ingredients (e.g., Milkin' Jessner Peel, Kiehl's) are effective for dissolving old dead skin cells and sebum while minimizing skin irritation. It is also said that using an essence containing fermented ingredients (e.g., Mixed Soybean Essence) instead of a scrub allows even sensitive skin to moisturize and exfoliate simultaneously, and that using it 1-2 times a week is recommended. Is this really okay?