Keep to hard science and let politicians use that information to make less than perfect policy decisions. That way, people can at least trust the CDC to always tell us what we should be doing and we can blame or sympathize with politicians for making less than ideal choices to satisfy corporate interests or out of a lack of faith in the American people.
That's much better than the CDC saying "The science says do Y" and then facing a massive amount of backlash as groups of experts say "That's a lie. The science says X" while advocates for Y say "See everybody! We were right!" and many people are left wondering who to trust. As a bonus, those who can do X, could choose to do the best thing no matter what the government policies are, including other nations with less petulant citizens who look to the CDC as a trustworthy source of information.
It's worth noting that, for public health measures, social considerations like effects of planned enforcement measures and expected public response given those measures, including both compliance, failure to alter behavior to comply, and altering behavior directly against the policy (rather than what the policy would do if there was magic perfect compliance with no enforcement effort) is a key set of facts. (And, in the CDCs case, also includes expected enforcement, resistance, nonenforcement, and outright hostile policy responses by State governments, which the CDC does not control but are structurally going to be responsible, realistic, for much of the concrete implementation of CDC guidance.)
The CDC can't both stick to relevant facts and science and ignore politics, because public health has an enormous social component, of which politics is a central part.