You’re comparing apples to oranges, and besides that, what was reported in that link is true.
No I am not (accepted credibility on the part of the target audience being the issue), and no what was reported in that link is not true. There is no law that requires vaccination papers simply to go outside in DC… Rather (while extensive/extreme for sure), what the linked https://coronavirus.dc.gov/vaxdc says is, "On January 15, 2022, per Mayor’s Order 2021-148, the District of Columbia will adopt a city wide vaccination entry requirement that requires COVID-19 vaccination to enter indoor facilities within the city." And in the PDF:
What Businesses or Organizations Do Not Have to Verify Vaccination Status for Entry? • Retail establishments • Grocery stores, farmer’s markets, an d food establishments that provide charitable food services • Houses of worship • Hotels, except meeting rooms, ballrooms and h otel restaurants and bars • Homeless s helters and other human services facilities • Health care facilities and pharmacies • Private meeting spaces in office buildings or residential buildings • Gyms and Fitness Facilities operating for the sole use of individuals residing or working in that specific building • Law enforcement buildings and g overnment offices such as the Department of Motor Vehicles If an exempt facility conducts a non - exempt activity, the vaccine requirement shall apply.
As a practice, it is best to examine what the source link says. If you can find it.