It looks like you're criticizing the GP's praise of Idris' concise formal definition of its unsugared semantics. I wouldn't use such a formal definition for educating novices (like I think you're implying in your next sentence); I'd use it professionally to show that many desirable things--effect tracking, compile-time checking, and design-by-contract--derive from the same thing. Ken Iverson in his notes on mathematical notation says that one criterion for a good notation is "suggestibility"--the notation should suggest that other problems similar to those you found just now could be solved as well.

Whether formality is useful for novices, it is certainly useful for experts.