This is not the kind of analytical testing that I do, but here is an educated WAG:
While tragic, this death is just one of several other unexplained ones that need to be dealt with, and frankly, if every sample sent to the lab was “Rush”, then none of them would be, so it probably is simply being dealt with as a regular sample for toxicology testing.
I suspect there is a chain of evidence issue as well, so the sample(s) need to be collected, documented, transfered to a delivery person/company, documented, moved to the tox lab, documented, stored in appropriate conditions the whole time (documented), removed for testing (documented), analyzed on instruments X,Y and Z (all of them documented, not to mentioned calibrated and validated), results reviewed (documented), approved (documented), sent back to the investigators (you guessed it, documented), interpreted (documented!) and then made public or go through whatever channels this information needs to go through at this point. All of this is likely verified and cosigned as well, and often done during business hours (8-5), so there are a LOT of steps that could slow things down. Depending on the analyses conducted, several other tests might be done based upon their results, and all this takes time.
I am not familiar with the tests and instruments involved, but several might have long run times (in my field, pharmaceutical chemistry, our shortest HPLC runs in which anything might be quantitative are at least 2.5 hours long, due to the steps we have to do to prove the instrument is working; typically, I tend to run 7-20 hour long runs, not including the approximately 3-8 hours of sample prep, instrument set up, and, of course, documentation).
The quality control systems in labs like this are often very rigorous, since one mistake can lead to so many problems, from extended analysis times due to having to repeat, to damaging the reputation of the victim (he was a crack addict… oh wait, no, that was someone else’s sample!) to falsely accusing someone of a crime or action which might have affected the victim.
Drug testing for jobs is different… I’m pretty sure for the most part these are pre-packaged, validated, but with minimal accuracy, tests, which essentially can tell you Yes/No about the presence of a substance, and might have a result that can give you a range of concentration, but can’t give any level of precision on that reading (such as 90-100% substance X, but not enough precision to tell you it’s actually 97.473%)
As I said, educated WAG… a lot of this description does apply to the work I do!