I reckon rogaine requires:
1) Teams (ie not solo), or you miss out on the man management aspect
2) Access to map before starting, or you miss out on the planning bit
3) Big enough course to keep you out for at least 3 hours
Score event - same as rogaine but can break one or more of those criteria.
4th criteria: in the southern hemisphere
1) Most people were solo, but then you can run solo in most of our rogaines (3 hours or less) anyway.
2) The maps weren't available the usual half hour beforehand, but we had a few minutes to have a look, so there was the opportunity not to lose the race by making the wrong decision right at the start (which I reckon is the big plus point for rogaining vs score orienteering)
3) It was a tough 2 hours, but we've had shorter rogaines here for a while.
4) OK, it was in the Southern hemisphere, but there are more countries in the Northern hemisphere than in the Southern hemisphere that do rogaining. GB just hasn't cottoned onto it yet.
By your criteria, strictly speaking it was orienteering, but the general randomness (dubious map, hard to find controls) and lots of out and back dead ends meant it felt much more like a rogaine. Except of course, it was all daylight.
Wouldn't the Score class at OMM count as a rogaine?
Maybe second criteria not met but otherwise seems pretty similar.
It's certainly similar, but that second criterion makes quite a difference and actually adds quite a lot to the enjoyment. There's a lot more time to work out a proper strategy. You can identify likely problem controls and work out what to do if things don't go to plan.
The other major difference is that most rogaines are run partly at night, so a big part of the strategy is working out which part of the area is the best to be in while it's dark.