Suggested I look at “Kurtosis as Peakedness, 1905–2014. R.I.P.” https://www.tandfonline.com/doi/abs/10.1080/00031305.2014.917055, referenced from Wikipedia: https://en.wikipedia.org/wiki/Kurtosis. Framing around “pointiness” or “peakedness” is the wrong way to describe it.
(courtesy: Błażej Kochański)