Higher ctr spot will have higher CPM.
Correlation !== Causation. Ads placed in desirable locations, such as above the fold, get seen more, and thus get clicked on. But is it the clicks themselves or simply the location which is driving a higher price?
CPC is calculated as revenue divided by clicks, so high revenue / low clicks = high cpc. It is important to note that revenue is determined by number of impressions, but the CPC calculation does include impression, this makes CPC extremely misleading. If you have many impression (high revenue) and high number of clicks your CPC will lower than it would be if you had the same revenue with fewer clicks.
CTR can also be confusing to some extent, CTR is the ratio of impressions to clicks. Alone it is pretty straight forward, but when comparing to revenue things get muddy. Revenue depends on total number of impressions, where as CTR is simply a ratio, it can be calculated on a single impression 1 impression / 1 click then CTR = 100%, 100 impressions / 1 click then CTR = 1%, and so on. This explains the high CTR at the start of the day (eg: shortly after midnight) and then it erodes from there. This is a result of the lucky early click. Over a big enough sample of impressions and clicks you eventually end up with accurate ratio. The point is, with a low traffic/revenue, (few impressions) you can often get misleading CTR numbers, when impressions rise, you get a more representative sample and CTR becomes more reliable. This isn't caused by some nefarious action on the part of Google, it's simply math. Google doesn't need to resort to nefarious methods to squeeze a few dimes out of you, it does it boldly and openly, AIO anyone.
If I "test" this, and look at my stats for the past 30 days, my best performing ad unit is not the one with the highest CTR, but it is the one with the most impressions. In my case the high CTR ads tend to have few impressions and a few lucky clicks, and these will change month over month, as the lucky clicks don't always land in the same places.
Can't someone write an email to Trump's team
I doubt an email will help, you would probably need to send truck load of cash (likely several truck loads) and Google has you beat in that respect.