Buffalo Wing Sauce does not need refrigeration after opening.
Although it's best to refrigerate the opened Buffalo Wing Sauce to help preserve the freshness and flavor for a longer period of time.
However Buffalo Wing Sauce contains high vinegar and salt content that helps to inhibit the bacterial growth, to prevent it from going bad at room temperature.
However by refrigerating the Buffalo Wing Sauce after opening it helps to maintain the optimal and best flavor.
Many other condiments including Ketchup and Vinegar don't need refrigerated and store bought hot sauces don't need refrigerated unless they are Salsa.
Salsa always needs refrigerated but hot sauce, Buffalo Wing Sauce, Ketchup, Mayonnaise and even Mustard don't need refrigeration after opening.
Leaving the Buffalo Wing Sauce out is okay, especially if you use the Buffalo Wing Sauce frequently and don't mind a slight change in it's flavor over time.
Although refrigeration is best for optimal quality and longer storage.
If the Buffalo Wing Sauce is spoiled it will have an off odor, mold growth and even a change in color or texture and if so it should be thrown out even if it's been refrigerated.