I was going to take a look at that, actually. I think there's a much better case for removing Yuzu than others bc Yuzu is a fairly singular outlier on height, whereas you get into a bit of a mess if you try to remove other data points, but it did occur to me that Shoma might be contributing to the negative relationship somewhat, though there was another skater with the same height who would also have to be removed so I think that counterbalances that effect somewhat. But I think that the second point you're making, about why height does necessarily equal GOE, I don't think really counters my core point that much. Of course there are other factors other than height, and we should not expect a particularly high r-value for height versus GOE because of those other factors. It would obviously be ridiculous to expect GOE to be perfectly correlated with height like clockwork. The problem is not that the r-value is positive but low, it's that it's essentially non-existent or even negative (depending on how you handle the Yuzuru data point--he is singularly responsible for the fact that the correlation is 0.03 rather than -.23, because outliers have really strong effects on lines of best fit). That means that height, at best, is not having any statistical impact whatsoever even after averaging out of the jumps and their respective good and bad qualities, or at worst is negatively affecting GOE, despite the fact that the judging system is supposed to reward height. Of course, this is complicated by interactions between height and other jump qualities (though let me note the evidence for these interactions is also limited), but again, the core point is this:
Regardless of whatever mechanism causes this, if you are a competitive skater, this data indicates you should not expect to be rewarded for jumping high, because it suggests there is either a negative relationship between jump height and GOE or no relationship at all (though this is perhaps less true for ladies, as I remember someone pointing out earlier). Therefore, given that jumping high likely carries inherent risks, it makes little sense from a competitive perspective to jump a centimeter higher than is necessary to land the jump.
Of course, I would like more data, and I would also like to see whether other systems give the same measurements as icescope. But as a preliminary matter, I think the data is worth talking about and suggests that we should endeavor to score the height/distance bullet more objectively.