Thanks for the feedback. In response, I've revised the original post in a way that I hope improves it.

An alternative approach would be to simply state the result and that it is a direct and almost trivial consequence of Rice's Theorem. This result is indeed so trivial mathematically that it is unpublishable, but in a math journal, that's how it would be presented. The article would be very short.

Because of the significance of these results, I've labored to present them to readers who are Perl-literate, but not fluent in Theory of Computation. The risk is always that a translation from math-speak will seem sloppy to those who understand it and unconvincing to those who don't.

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