I don't relisten to songs often either. Best thing of 'these
times' right now for me, is the ability to go through online
databases of thousands of songs and be able to get a 30 second
preview for free. I love it 'cause that's all I need usually...
although sometimes I like to scan through a song and find the
"gap" moment. That's the part I always enjoy. For that, I use
youtube and the little slider.
Perhaps the way you see logic is how I see music. It's my
language I guess.