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Signals in the brain normally excite neurons only if they are well known, i. e. because synapses pass them on that grew during learning. But even for well-known patterns I could imagine that without any additional amplification, there is a chance that, originating for example from the retina, they would eventually die out without reaching relevant other parts of the brain.

However, depending on the underlying neural coding you assume, the amplitudes could carry information and amplifying signals across the board could cause ambiguous circumstances: How would a neuron be able to tell whether the incoming signal is strong because it was learned by a previous neuron or it is in fact quite unknown but got amplified?

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