That's a fair critique, although I think you could mitigate that by decreasing the desired arclength - reducing Del S to 0.5 from 0.85 in your example mostly fixes the problem.
In the context of the game described in the post, the main variable we were concerned about was u_x, because we scaled difficulty by increasing it over time. This in fact results in flatter parabolas, so I actually had quite the opposite concern of what you outlined and might have over-optimized in that direction!
Thanks for taking the time to read and try out what's described in the post. It's my first time working on a technical blog, and I'm extremely grateful for any constructive feedback / criticism :)
Where do you see that? I see "No significant associations were found for milk chocolate intake" and "Intake of milk, but not dark, chocolate was positively associated with weight gain."
Ah, I stand corrected: the study starts by stating "After adjusting for personal, lifestyle, and dietary risk factors, participants consuming ≥5 servings/week of any chocolate showed a significant 10% (95% CI 2% to 17%; P trend=0.07) lower rate of T2D compared with those who never or rarely consumed chocolate", but goes on to split by chocolate types and then the positive effect disappears for milk chocolate.
https://colab.research.google.com/github/google-deepmind/alp...