We present the results of systematic model experimental investigations on wrinkling instabilities which develop on alginate-based coatings when they are wetted by swelling electrolyte drops. The wrinkles first appear randomly within the wet spot, before they selectively protrude out around the periphery in a quasiperiodical wrinkle pattern. We discuss the critical parameters that drive the emergence (ionic strength and swelling rate) and spatial feature (size and periodicity) of these swelling-induced structures on such complex functional coatings. Beyond their relative aesthetics and their fundamental interest related to morphological instabilities, these reconstruction structures which are invisible to the naked eye can develop in a variety of technological processes (inkjet printing for instance), affecting irreversibly the quality of the products.