To add one more point, as a starter the recovery period is much different than for releivers, so many do feel that running is beneficial. I know my son liked to run afterwards but as far as we have discussed it wasnt for flushing out the lactic acid, more like flushing out the head. I have no issue with anyone sho prefers to run, but I do not believe t is for the reasons you state.
As an instructor, it is your obligation to be familiar with all the information available in 2014, that would include training (or leave that to the trainers). Because running worked for you may not mean it will for someone else. JMO