Running vs. walking on recovery intervals

The thread on VO2max reminded me of a question I had this past summer…

I’ve been curious about recovery intervals on during a workout with short, high-intensity intervals (such as 400m repeats on the track). I’ve read different instructions on how to recover - some programs simply say recover until HR is <65% max, others say “jog” or “jog, don’t walk” for a certain amount of time.

Is there a big difference between jogging/walking/standing around while recovering during interval training?

Thanks
John