Depends greatly on the current condition of the paint and wood. Flaking, sun damaged, water damaged cabs have to be addressed differently then a well preserved cabinet with solid bright paint and no planking of the wood.

You want to clean it as little as possible and come to the desired results. Meaning start out with something less damp and less caustic. Figure out what your trying to remove. Is it just dirt? Is it soda, nicotine? Maybe just a clean microfiber cloth with light soap and water rang out is all that is needed.

See what the results are. You may need to up the cleaner to a mean green/simple green diluted 20-1 or more. You may need to swap out the microfiber cloth for a magic eraser. All the while paying close attention to the rag or eraser for any signs of paint removal.

For nicotine a lot of folks swear by Krud Kutter. Yet some folks use it lightly and immediately stop as a result of paint loss. Choosing an inconspicuous spot on the cab helps if at all worried.

Hope this helps,
Blake