Can you give an example of a single type of statistic where this argument can't be made? Are statistics overall categorically useless? Should they not be reported?
As a numerate person I would personally appreciate it if all statistical claim had a link to a Jupyter Notebook and the associated data. (Though perhaps Observable would be the best choice here since it is run on the web).
https://projects.fivethirtyeight.com/jobs-report-growth-unem...
They probably shouldn't...
1) Humans are on average bad with numbers. This could have unforseen negative impacts.
2) Your average person can't define causal inference, let alone make a well-informed one.
3) Few of the presenters (news people) have a grasp on 1 & 2. If they do, also communicating that becomes a challenge that requires solving 1 & 2.