The screenshot is from the document S32K3X4-0P55A-1P55A-ERRATA which I downloaded from https://www.nxp.com/products/S32K3. I assume it is generic errata for all cortex-M7 products so it may not actually imply anything useful for the S32K344 at all.
I would like clarification on what the quoted bit from chapter 17 of the reference manual means: "S32K3 does not support the ARM load- and store- exclusive instructions."
I've tested and LDREX/STREX don't appear to cause any sort of panic and appear to function as I would expect, but I assume there are subtleties I don't understand from my cursory explanation.