In what way is bzip2 more of a "standard" than zstd? bzip2 doesn't even seem to have any official reference description of its file format; just an "unofficial" one[1], whereas zstd is RFC 8478[2].
When I evaluated various compression algorithms a few years ago zstd came ahead of bzip2 in every metric.
The author of lzip has harsh criticism of xz, and admiration of bzip2 for error detection/correction and "rightsizing" the container format.
I use lzip in preference to xz unless I need portability.
https://www.nongnu.org/lzip/xz_inadequate.html