No, that is a completely incorrect interpretation.
Anyone can publish photos taken in public places in a reasonable way (i.e. not using a ladder and a supertelephoto on a sidewalk). They can publish these images in any way, with or without editorial, in nearly any way... as long as it's not exploitative of a protected attribute.
Coca-Cola cannot take a picture of Michael Jordan having a soda at a public event on public property, slap the Coke logo on it, and make that into a marketing campaign. The National Enquirer cannot edit that image to show Michael molesting a child, then publish it. But any person can take the unaltered photo, put it on twitter, and say "Hey, check out this photo of Michael!"