The interesting thing is that the first "Walkin" I heard was one of the live versions of the "2nd Quintet" that means with Herbie, Ron, Tony, which I played over and over again when I was a kid.
So when I bought a then available Prestige Double album of pre-first-quintet Davis recordings I was kinda puzzled that it´s such a relaxed medium tempo. Then, in my early youth I didn´t find it as exiting as the herbie-tony-ron-thing.
As I said, that´s a generation thing.....
The "second quintet" walkin´ seemed to be a hit of my generation, everybody hummed it and said it´s fast and strong.
Once when I lived with my 10years elder sister she had called a craftman to fix something in the 1st floor and I was up in my room and had Davis second quintet, maybe just "Walkin" spinnin and as always during that time, very very loud.
And later my sister came up and said "that craftman said "wow, great music you are spinnin´"
I asked her "why didn´t you send him up ?"