I'm not sure why gzip still pops up for FASTQ data, as it is quite easy to bin the quality scores, align it against a reference genome and compress it as e.g. CRAM [1,2].
With 8 bins, the variant calling accuraccy seems to be preserved, while drastically reducing the file size.
[1]: https://en.wikipedia.org/wiki/CRAM_%28file_format%29
[2]: https://lh3.github.io/2020/05/25/format-quality-binning-and-...