I know MOA size can be expected to open up some as the range increase, but 5x from going from 100yds to 200yds is ridiculous.
I'm not some Benchrest wizard, but I do shoot a lot of 100-300 yard target, and I reload. I don't think
any of the subtle effects we chase (like ES, BC, etc) are nearly significant enough to do that. An ES of 100fps is typical from factory ammo, and plenty of rifles run ~MOA to 300 with that ammo.
So, that leaves you; I guess you're doing something different. I'll start by pointing to your targets; if that orange dot is anywhere near ideal size at 100, it's way too small at 200. Make sure you can see the targets.
Second, shoot two, 5-shot groups at each range before you pretend to know anything. If the group sizes aren't well-correlated, you've found your problem. Your inconsistency is swamping your sample size.
Remember that silly idea about bullets 'falling asleep' after 100 yards? Besides demonstrating the ignorance of people who say that (if it were true, it would violate entropy and require time travel. . . information flowing
backwards in time), it illustrates that many shooters are so much more careful aiming at a further target that their groups are noticeable smaller (angular dispersion) on the further target,
and they have no idea they're doing it. I suspect you're doing something similar, just in reverse from the usual.