This is not true. Sebaceous glands do not produce more or less oil based on anything that you apply. However, products with alcohol in them will dry your skin out over time. Certain alcohols are present in more products than you realize, including ChapStick!
I agree with this article 100%. Dermatologists love Dove, Cetaphil, and CeraVe for a reason... they work and don't irritate the skin! Using gentle products in combination with a prescription retinoid is my favorite regimen for patients.
Aren't there different kinds of alcohols, though, that are moisturizing? And I agree about those basic moisturizers. I love CeraVe.