The Planet Inside: Scientists are probing the secrets of the inner core
science.org
science.org
(The commenter does have a good point, though -- the writeup is on "Hey, these observations conflict. That's weird!", and the commenter is saying: "Hey, we published a paper on that conflict several years back that we think explains it well, you missed that hypothesis when going over papers that discuss that conflict". It's kinda their pet theory, and pretty wild, but it was still a Science paper/very prestigious/respected.)
This is actually a _really_ excellent general audience summary. It's hard to beat Science's non-technical sections like this for scientific reporting.
That's basically the point - spin can explain it, but we've measured inconsistent spins. The inner core boundary moving around vertically by a few km can explain it, but that is a little hard to stomach for geologic reasons.
The issue is that it's _really_ hard to come up with a geologically plausible mechanism that would allow 1km of vertical solidification over a significant area in only 10 years that's also compatible with the liquid outer core existing at all. The paper proposes that it's constantly growing and eroding so the net gain/loss is essentially 0, but again, how do you explain that rate of 1km of solidification in 10 years geologically?
That's what moves it into the "pet theory" camp. It's not crazy, but no one's been able to come up with a convincing mechanism for the proposed very rapid growth+erosion of the inner/outer core boundary and there are other explanations (like spin of the inner core relative to the rest of the Earth) that have gained broader acceptance. The comment of "Hey, we have an alternate explanation for this that wasn't mentioned" is also pretty fair, though.