Is rather large, considering the cell nuclei containing the original copies of the genome, are around 6μm in diameter...
And that DNA is
how durable, for how many years, and in what kind of environmental conditions? Keep in mind that you're talking about a single strand (not thousands or millions of copies) and it must survive
intact, so mere fragments don't count.
Also, what's the fastest speed of sequencing DNA? Nature appears to have hit a wall on that, because the fastest-replicating organisms rely on pipelining to speed up cell divison. I think there's a pathogenic bacterium that pipelines up to 4-levels deep of DNA replication. That's a neat trick, but it only gives linear scaling and I don't think it's applicable to DNA sequencing.
BTW, the test any archival storage must meet to apply to a post-apocalyptic scenario, is the ability to be read via relatively simple (e.g. 1950's) technology. With a holographic crystal, maybe you can partly get around this by storing the lenses needed to read it, which a future civilization can use to build a reading device.