Ingredients for Johnsons wipes:
Aqua (Water), Myristyl Alcohol, Stearyl Alcohol, Propylene Glycol, Epilobium Angustifolium Extract, Aloe Barbadensis Leaf Juice, PEG-20 Stearate, Polysorbate 20, PEG-40 Hydrogenated Castor Oil, Tocopherol, Citric Acid, Lactic Acid, Tetrasodium EDTA, Phenoxyethanol, Sodium Benzoate, Parfum (Fragrance), CI 77289
So it does have alcohol which can be drying. Hmm...
I ahve to say I did this job for about three years on a weekly basis and didn't notice any problems with drying. I usually buy the value range baby wipes form the supermarket for house cleaning but it should be similar ingredients.
As an alternative, most household ailes in supermarkets or places like wilkinson do sell leather cleaning wipes. A bit too expensive for the job though.