To my reading it means nothing like that. One of us is suffering severe reading comprehension problems. Is it me?
Maybe they could bend it to say choosing to participate in the site allows them whatever they please? Even though the word 'specific' is used, how can you use it in a legal sense? (How broadly can you apply the use of the word?)
I hate reading privacy policies for the exact reason of not being able to absolutely discern how they affect me without having to get a lawyer.
"We do not share personally identifiable information... except as part of a specific program or feature that you have chosen to participate in..."
and the OP's translation:
“We can share whatever you provide us whenever you touch or interact with our site”
To me these are not the same.
One thing that I've noticed is that old-school media tends to have absolutely terrible scores, and they tend to share lots of stuff, and they share it with less privacy-conscious ad networks. I was very surprised that Facebook and Google, companies that are supposedly so predatory that they have the FTC in house to monitor them, stack up better.