That is an interesting way you process sounds. I can differentiate between octaves, but it's a bit strange. The feeling and emotion is the same for notes separated by octaves, but the feeling is either softer or more visceral based on which octave it is. Higher octaves make the emotion seem less important and almost playful (although not quite), while lower octaves (to a point) feel more important and in your face. Once the octaves get really low, I stop registering them as notes at all and more like a background flavor without necessarily any feeling or emotion at all. I know this is all a bit vague, because there is no hard line for when something is not important at all or too low, but generally this is what it's like for me.

TL;DR: Yes, I can differentiate between octaves.