I have combo-dry skin so I definitely have to use a good moisturizer after I use these wipes. I tend to use these wipes before bed so I'm already moisturizing afterwards with a good heavy duty moisturizer or night cream to hydrate my skin. So as long as you moisturize or if you have Normal-Oily skin you should be fine! :)
I believe everything affects everyone differently so it's hard to give an accurate answer to these types of things. I do know that I have combination skin problems and they did not dry out my skin. It's all trial and error, sweets!
I have combo skin and I did not have that problem... but you have to keep in mind that these cloths are not necessarily meant to be used as a stand-alone product that replaces using cleanser and moisturizer. These cloths are merely to get all your makeup off before you wash your face. They enhance your facial routine rather than replace it :)