Will a bed skirt work with an adjustable base or platform bed?

Usually not well. Specialist subreddit threads (r/Mattress, r/sleepnumber) flag that adjustable bases and many platform beds don't have a box spring to anchor a traditional skirt, and the moving sections can pull a wrap-around out of place. For platform beds, look for elastic wrap-around styles or fabric panels that attach directly to the frame, and check the return policy.