Yes, amplification is really apt and suitable analogy comparison.

Just treat the hallucinations as the non-linear distortion and harmonics phenomena that come from amplification process. You can just filter the unwanted signals and noises judiciously if you're well informed.

Taking this analogy further you need to have an appropriate and proper impedance matching to maximize the accuracy, and impedance matching source or load-pull (close-loop or open-loop) and for LLM it can be in the form of RAG for example.