Very minor, but confuses me so may confuse others.
In the Linux installation notes at
https://pixinsight.com/dist/browser.php, it says "The FreeBSD and Linux distribution packages are gzipped tar archives (tar.gz)".
This is not true at least for the current Linux distro, which downloads as a *tar.
xz file, not a *tar.
gz. Then when you follow the example command there, tar -xzf, it doesn't work, since that is for gz not xz files.
I believe tar -xf or -xvf (more reassuring that it is working) will work, as it did for me just now.