In Wolfram Language, a "pure function" is what others would call an "anonymous function" or a "lambda". It doesn't actually imply the lack of side-effects.
The older Compile function also does the same thing when there's an error.
Given the difficulties of doing something fancier, I think it's a reasonable strategy. Mutating state that doesn't originate in a function isn't too common, and less so with the kinds of functions you'd compile. If the compiled function fails, you probably have some other bug in your code anyways.
I've never used Wolfram in earnest (touched it once in undergrad ever so briefly) so I may be misunderstanding.
EDIT: I see that the documentation for FunctionCompile indicates it's for pure functions only.https://reference.wolfram.com/language/ref/FunctionCompile.h...