I think the surprising thing would be if the logic goes high frequency -> spiky waveform -> spiky shape, because that would imply that that particular representation of the sound is being used as part of the intuition. Which would be unusual, as it's not generally how people experience sound (for sure the opposite doesn't really occur: even someone very used to looking at waveforms will struggled to actually understand a sound by looking at the waveform to anywhere near the detail of listening to it). Even with synesthesia it tends to be associated with colors/feelings/smells etc in a way that doesn't tend to match with technical representation of sound.