I used my strategy in the previous post and was able to snag an 8x scope to take some screenshots and mouse data. I derped a little bit and did it versus third person instead of first person, but I suppose it's still fine. Here are the images for comparison if anyone wants to do any calculations with them. I tried but got too confused by the trigonometry to get much out of them.
Third person
8x scoped in
8x scoped in overlayed on third person
I also took MouseTester data to get the total x-counts in a 360° rotation. Here are the images of the points I used to start/stop on while collecting MouseTester data: third person, 8x scoped in.
For third person, it was a total of 16362 x-counts, which converts to 46.177cm per 360° with my 900DPI. This is very close to the 46.1818cm per 360° from the calculator for my 0.009900 hipfire sensitivity.
For 8x scoped in, it was a total of 173621 x-counts, which converts to 489.997cm per 360° with my 900DPI. This is not close to the 540.6461cm per 360° from the calculator for my 0.007732 Scope 8X sensitivity. However, if the calculator treated the Scope 8X sensitivity as having 7.25x magnification, then the calculator would give 489.9608cm per 360°, which is very close to my measured 489.997cm per 360°. So I think we can conclusively state that the 8x scope is indeed 7.25x magnification as reported on PUBG.ME, and we can furthermore anticipate that the 15x scope will be 12x magnification.
To demonstrate the difference this makes, the 0.007732 sensitivity I was using for Scope 8x sensitivity should actually be 0.008532 (= 0.007732 * 8 / 7.25) to take the 7.25x magnification into consideration. I was also using 0.007732 for Scope 15X sensitivity, which should actually be 0.009665 (= 0.007732 * 15 / 12) to take the 12x magnification into consideration. The various sensitivities I used for PUBG come from my own method, which I will make a post for soon, but the bottom line is that this effects everyone who used the calculator for deriving Scope 8X and Scope 15X sensitivities.
Oh, and somehow I managed to win that game after I collected these screenshots and mouse data even though I was just trying to find an 8x or 15x scope for this test. Just goes to show, man's best laid plans in PUBG