All puppies and kittens have soft, supple skins. At this early age, an allergic person can probably handle any one of them and not have much, if any, of a reaction. Virtually every article that I have read and every person that I have spoken to about animal allergies talks only about dander. This is may be because dander can be easily seen and understood. Dander is important as a problem causing allergen, but it is not the key one.
Dander is usually the simplistic explanation of the cause of animal allergies.
Dander may be part of the cause of reactions to cats, but the real culprit and cause of the major reactions is from the secretion of the sebaceous glands. All skin, human or animal, contains these glands which produce an oily lubricant that keep the skin supple and the hair shiny. It is from this secretion that Fel d1, the cat allergen, surfaces. Lots of hair, little hair or no hair. All cats produce oils from the sebaceous glands which cause problems.