The document's mere existence or quotes take from it, likely out of context, could easily be used as proof by various groups as some sort of agenda or other problematic behavior on the part of the CDC. There are plenty of groups out there happy to gin up any "evidence" they can, no matter how flimsy, to "prove" their world view and can do a lot of damage in the process. And if it's "official government evidence" that's "being hidden" all the better.
A simple example we've seen: focusing and promoting the damage caused by vaccines as proof all vaccines are bad and no one should ever be forced to have one. If a vaccine had a 20% side effect rate there are plenty of people who would go nuts for "official evidence" of lots of side effects. Even if that side effect was a headache in the 24 after injection and the vaccine was a one time cure for all disease.
Unfortunately there's a lot of bad faith acting out there, and many of those same people seem willing to harass the hell out of the people they view as evil.