I just checked the 80D manual (don't have the camera) and it does have Mirror Lockup. That is a possible reason for the difference between the two numbers. When you perform MLU it doesn't open the shutter, only lifts the mirror out of the way (to reduce camera shake when making relatively long exposures). If you don't take a shot and cancel MLU, there wouldn't be any shutter actuation recorded.
Personally I can't imagine doing that over 2000 times. And I'd think doing no shots after MLU would be offset to some extent by sometimes taking multiple shots after MLU.
As far as camera shake reduction the effect of Live View is similar, except that both the mirror lifts out of the way and the shutter opens... so that wouldn't result in a difference. I suspect more people today use Live View than use MLU.
But an "old school" photographer might be in the habit of using MLU... especially someone who came from shooting, say, a Pentax 6x7 medium format camera, which was notorious for camera shake blur issues due to the massive mirror slapping around inside it. The first version of that camera didn't have MLU, so users would try to avoid using shutter speeds 1/30 to 2 seconds. The later iteration of the camera had MLU.
Everyone is correct, that Live View both lifts the mirror and opens the shutter. However, each time you take a shot during Live View, the camera performs another shutter actuation without first dropping the mirror. This would make for more shutter actuations than mirror actuations... just the opposite of what's being reported in this case.
Not sure it matters very much. Either way, that's a very "low mileage" 80D. It's just barely broken in and has more than 90% of it's projected 100,000 click life span remaining. Plus most of those shutter life projections are very conservative... If a camera survives the first weeks of use, it is usually good to go well beyond what the engineers suggest. The very rare early failure would cause the
average life expectancy to be reduced.
It's far from scientific (a voluntary survey) and there really aren't enough data points to judge the 80D at
https://www.olegkikin.com/shutterlife/canon_eos_80d.htm... But if you step back and look at the 70D and 60D, older models with a larger sample and similar shutter life expectancy, the majority lasted well beyond 100,000 clicks and around half or more were still alive after between 150,000 and 250,000 actuations.
https://www.olegkikin.com/shutterlife/canon_eos70d.htmhttps://www.olegkikin.com/shutterlife/canon_eos60d.htm Though there's a bigger database for them, 50D and earlier were a significantly different design an build, although their shutter is probably similar and expected life was the same 100K. However, failures aren't limited to only the shutter... even though we use it's actuations as measure of a camera's use. Not all shutter actuations are equal, either. For example, a camera that was only ever used for still photos but has a high click count might have only accumulated a few hours total time on its image sensor and other electronic components downstream from that. OTOH, a camera that was used for a lot of video work might have a very low shutter actuation count, but hundreds or even thousands of hours of operating time on its sensor and other electronic components.
I can see where the original poster is questioning the accuracy of the report on their particular camera due to this discrepancy. The very low count should be reassuring. Maybe a question emailed to the folks who wrote the software used to get the shutter and mirror count would shed some light on things.