While "more unscrewed" may seem like a relatively niche term, there are still a variety of synonyms that could be used depending on the context. One potential option could simply be "looser," as in something that has been unscrewed or untwisted to the point where it is less secure or tightly fitted. Another possible synonym might be "disassembled," which could refer to something that has been partly or fully taken apart, perhaps in order to facilitate repairs or maintenance.
More metaphorical synonyms might also be applicable in certain situations. For instance, you could describe something as being "unhinged" if it is becoming more unstable or unpredictable. Alternatively, you might say that something is "coming undone" if it is beginning to fall apart or unravel in some way. Regardless of the specific words used, the overall sense is one of things becoming more chaotic or less put-together.