what if you lack the fragments needed to reverse engineer/reconstruct a means to access the information?

Well that's a different question, because now it sounds like you're assuming that significant data loss will occur before it's read. If the storage unit itself is damaged in the meantime to where it's data is corrupted beyond recovery, then yes - that's a potential total loss scenario. Assuming however that the storage unit remains intact, I don't see how a dedicated team of smart individuals couldn't handle it, unless their technology is somehow inferior to ours.

It's also worth considering that this storage unit probably won't be their very first interactions with modern data storage systems. This may or may not be their first interaction with a data storage system that was actually written from modern times, but unless we have a total technological collapse in the intervening 10,000 years, chances are they'll have records from our time that have been copied over however many thousands of times to make it there. Afterall, to use a much less extreme example, I don't need to get my hands on a CD-Rom or Floppy Disk burned in 1991 to get a copy of Linux 0.01, it's been copied over and over through the years and is now available for download online. Data will surely degrade over time, and large chunks will get lost as people stop copying things they think are no longer important, but I feel pretty confident in the idea that enough pieces will make it that far that these scientists (techno-archeologists?) won't be starting from scratch