"What? Don't they have some kind of ridiculously large drives? Like six gigabytes or something?"
"Yeah, but apparently, they needed every k of it. We weren't their only project..."
Sorry, but to avoid suspension of disbelief you might want to change that number, and maybe the reason for losing the data.
Putting on my techie hat for a moment, the typical drive in a new desktop PC these days is 40 or 80 GB. 6 GB isn't going to hold the operating system and software for a serious modern CGI studio, let alone the data, and big drives are now so cheap that nobody doing professional work would let something like that be a limitation on the work they could do.
A RAID assembly of several 256 GB drives would be more like it, and RAID assemblies just don't lose data easily - they're designed so that if one drive fails the others can rebuild the data it contains.
I'd suggest replacing these lines with something like:
"What? Don't they have some kind of ridiculously large drives? Like six hundred gigabytes or something?"
"Yeah, but apparently they accidentally restored the last backup instead of making a new one."
That'd get rid of the data regardless of disk size and complexity, if someone was stupid enough to do it.