Within an in-group, the definite article is often dropped just out of efficiency. We did the exact same thing at NASA when I worked there.
When was the last time you heard someone say “The NASA”?
“Taxol gains quick FDA approval”
“Taxol gains quick the FDA approval”
“Three FDA officials say the drug's approval was warranted”
“Three the FDA officials say the drug's approval was warranted”
Taxol gains quick approval of FDA.
Taxol gains quick approval of the FDA.
Or others: FDA has approved... vs. The FDA has approved...
To most lay persons, omitting "the" will look a bit weird.
Now the interesting part is that NASA has become a proper noun (probably because it is an acronym that can be pronounced). No one will say "I work at the NASA". With FDA you will see people use both forms, even though the final A in both NASA and FDA stands for Administration. I'm not sure about other government organizations. I don't think anyone says "I work at CIA" or FBI for that matter.
People say that they were "investigated by (the) IRS" or "got a letter from (the) DMV" all the time. One reads in the press about companies being "fined by (the) EPA" or people being "detained by (the) FBI". Dropping the "the" doesn't look that weird.
Looking at https://www.cia.gov they use both forms "work at the CIA" and "work at CIA" (google returns twice as many results for the former than for the latter).
DHS, CPB, USCIS
The NBA, NFL, and NHL
MLB, MLS