I feel like logical-consistency is a duplicate of reality-check. The latter is designed to do what your tag does: ask if an idea is consistent within the laws of physics of the universe in question. You can use reality-check on a question whose premise involves the force of gravity falling off as $e^{-|r|}$, rather than $r^{-2}$, whereas it would be harder to justify using science-based; while we could answer the question mathematically (likely), we couldn't use the physics of our universe to answer it. But we could use the physics of the question's universe; reality-check covers just that.
For the record, the tag wiki excerpt for reality-check is
For questions asking whether or not a particular concept is realistic in a given context. Answers to these questions should provide a yes or no answer with supporting information. Consider alternatively the science-based and hard-science tags. This tag should never be the only tag on a question, it frames how a question should be answered, not the topic.
I think the third sentence could use some clarification along the lines I gave earlier, but most of it fits what I said. An important point to consider is the last sentence. reality-check, along with science-based and hard-science, is what's known as a meta tag. It doesn't tell us anything about the content itself, just what kind of answers are expected.
Meta tags are generally not encouraged, although there are exceptions. Some science sites, for instance, use homework or some variant thereof (though others have killed that with a vengeance!). The consensus on Worldbuilding seems to be that these three meta tags are okay, as far as I know.
So, I guess my main point is that I think logical-consistency should be listed as a synonym of reality-check. I think the sentiment behind the tag is indeed appropriate, but it's redundant. If it ends up staying as its own tag, though, I'd recommend looking closely at the reality-check tag wiki excerpt and tag wiki, and being careful to distinguish between the two (if such distinctions exist). Mentioning that logical-consistency is a meta tag would also be good.
As per the voting on this answer, I've added logical-consistency as a synonym of reality-check.