Based on the patent titles (I'll see if I can read some of them in detail tomorrow), most of these sounds almost exactly like the code I wrote while working at the JGI[1][2][3] in the early 2000s that managed moving large amounts of reads from the ABI (Sanger) sequencers, running it through phred/phrap, and storing it all so the biologists could access it easily. This included a custom Huffman tree based encoder/decoder to efficiently store FASTA files at (iirc) about ~2.5 bit/base (quality scores were just stored as packed array of bytes), a very large MySQL backend, and a large set of Perl libraries that provided easy access to reads/libraries/assemblies/etc. It was certainly a "method and apparatus" for "storing and accessing" + "indexing" bioinformatics data using a "compact representation" that provided many different types of "selective access".
I even had code that did a LD_PRELOAD hack on (circa 2002) Consed that intercepted calls to open(2) to load reads automagically from the DB. Reading Huffman encoded data in bulk from the DB (instead of one file per read) reduced the network bandwidth required to open an assembly with all it's aligned reads by ~90%. That sounds a lot like "transmission of bioinformatics data" over a network and "access ... structured in access units". It defiantly involved "reconstruction of genomic reference sequences from compressed genomic sequence reads".
They may have a more efficient compression method, and we didn't do anything re: "multiple genomic descriptors" (was that even a thing <2004?), but... no... they didn't invent what is basically a bioinformatics-specific variations of the same methods used everywhere in the computer industry for as long as "text file formats" have existed.
[2] These are my personal comments and opinions only, which are not endorsed by or currently affiliated with the Joint Genome Institute, Lawrence Berkeley National Laboratory, or the U.S. Department Of Energy.
[3] While I have no idea if any of that code even exists today (I left the JGI in 2004), I did mark the source files with the BSD license, since there was historical precedent.