Before we try a new form of parade lap, perhaps we need to think about some questions.
First, let's define a real-life scenario. Assume Run groups are (in order):
Red, Blue, White, Green, Orange, Yellow, with Orange as the first Corner Working group.
(Feel free to choose any other pattern of pairs, as long as the Red/Blue, Orange/Yellow, and White/Green groups (Instructor/Student pairs) are kept intact.)
1. Do we let students drive without their instructors for the parade lap?
If not, then some Yellow students don't ever get one, since their Orange instructors are out corner working.
If we do, then we need to have dead time for them to park and get out of their cars after the parade lap and find and get into their instructors' cars. AND - do we really want new students on the track without adult supervision???

Besides any risk, are they learning anything?
2. If the parade lap immediately precedes the first run group, who is driving during the parade lap?
If it is the Red instructors (and the first group is ALWAYS instructors), then the Blue students never drive a parade lap.
If instead the Blue students drove, then we would have to have them switch cars and drivers after the parade lap before the first run group went out. (Does the term "Chinese Fire Drill" come to mind?)
Students in later run groups *could* drive, with their instructors riding, but is there a real value in having a student drive one lap with no prior instructor ride, and then go park for an hour or two before their next session?
3. Do we have a parade lap for Orange later, since they missed it getting set up for corner working?
If not, then they never get a parade lap.
If so, then they would get a parade lap, but what about their Yellow students who didn't get to drive the parade because their instructor was corner working?
4. If most of the drivers in the parade lap are instructors, is this really contributing much to the student?
5. What about two (or more) driver cars? Does only one driver get the parade lap?
If the point of the parade lap is to give the students a driver's seat look at the course at a slower pace, then I would suggest we just run a slow lap at the start of the three Student run groups - Blue, Green, and Yellow. Skip it entirely for Red, White, and Orange. And we don't even need to call it a parade lap - just take it a bit slower! (Personally, I would rather my student be able to start driving immediately at the speed at which they feel comfortable, rather than being paced behind someone else in a parade lap.)
If the point of the parade lap is to dust off the track, then just run the parade lap as a one-time "free for all" before the first run group, and don't worry about who gets to drive or not drive the lap. Don't try to make it up to the corner working groups later, don't worry about students not getting a parade lap.
Stuff happens...
