The "Shake It Off" case seems like it involves lyrical content, which had always been a primary concern of music copyright, even before "Blurred Lines". The "Thinking Out Loud" case seems to involve similar issues to the "Blurred Lines" case, but was filed long after[1]:
> While the Gaye family is not involved in the “Thinking Out Loud” lawsuits against Sheeran, the precedent set in their case looms over all new copyright infringement claims. Notably, the court took into account not just sheet music but studio arrangement too and ruled that “Blurred Lines” significantly aped the vibe of “Got to Give It Up,” something that had previously been beyond copyright protection.
[1]: https://rollingstoneindia.com/copyright-infringement-lawsuit....