Yes, I understand, if you want to get truly pedantic about what a Harold is. (There is a continuum, but there is also a point where day is obviously not night.) I am assuming that he's framing this for use as teaching a group of students, in which case the standard-training-wheels-3-scenes-3-beats-punctuated-by-2-group-games Harold is probably what he wants. Barring that, by virtue of having a moderator edit the scenes and direct the group games into known short form structures (while soliciting even more suggestions) makes this pretty much not a Harold. This reads as though someone had the standard--- Harold explained to them, they didn't really get it, and they tried to recount it to best of their memory through a lens of only having ever done short form.
The original Harold was like 2 hours long and all over the place. I've spoken with people who learned it that way and think of all improv as this art-therapy Woodstock naked strobe-light free-for-all.
Later, it got boiled down to an invocation opening and three beats of scenes broken up by short-form games. I think Truth in Comedy has it this way (maybe older editions did). This could easily be misinterpreted into thinking there'd be more suggestion-getting for those games.
This is how I originally learned. The first beat had three scenes and the second beat only had two; you had to magically know which would stay and how they would merge. The last beat was one big, crazy scene. The games in between were sometimes predetermined as a commercial spoof.
Now, the training-wheels Harold has a bunch of different options for openings and a concept called 'group game' that 90% of people don't understand.
Groups in remote areas or other countries cobble together their own variations, still calling it Harold (or quite often The Herald), that take slight slants at the structure components.
A lot of classes and workshops taught by people not too closely tied to places like iO or UCB will do the same thing, making up something that works well enough. If it's for kids, people do whatever they can, often including more rigid frameworks or directors/moderators/hosts that spell out what we're all doing right now.
If you say Harold to 3 different people from 3 different areas, you'll get 3 different ideas. The same could be said for jazz or modern art or ...pretty much anything that different people could do in slightly different ways.
