Ugh. I work in skincare & this is something I have to deal with every day. i believe that this woman was referring to acne. Let's clarify things : People use the word "break out" in two totally different ways. Acne breakouts are generally very different than sensitive or allergic reactions. An acne breakout (i.e. pimples, whiteheads, blackheads) can be caused by too emollient products or comedogenic products. It's also caused by bad skincare habits, hormones, medication, diet and lifestyle issues. Note : not all oils are bad for the skin. Please quit drying your skin with harsh cleanser, toning with alcohol based toners, using totally oil free AKA full of wax products and then wondering why you are such an oil slick. Also, quit smoking & tanning.
Sensitive or allergic reactions are often caused by fragrances or dyes in products and are generally characterized by redness, burning, irritation, peeling, and inflammation. Unless it's rosacea or a few other chronic hereditary skin conditions, your redness and irritation is most definitely caused by a product.