Frank WapplerRotation does matter:
The ride #duration (a.k.a. #pathlength of a #worldline segment; or "proper time") of a child circling in a carousel 𝒊𝒔 𝒔𝒉𝒐𝒓𝒕𝒆𝒓 𝒕𝒉𝒂𝒏 the corresponding wait #duration of a parent "standing by".
In contrast, #clockrate and whether/which #clock "ran faster/slower" than another is only secondary; calculated from comparisons of durations, and from Δ of readings.
On the Nature article:
"clocks that tick at the Moon's natural pace" is a disaster, IMHO.