Both who you gossip to and what pieces of gossip you are with that person do provide feedback on that relationship

No. They do not. They absolutely do not. Gossip is a gambit. It's a dance step. It's a feint. It's a proffered rose to see what can be elicited. It is part of a continuing negotiation designed to enhance a relationship. Feedback is a direct attempt to change someone.

Gossip that gets back to the person it's about is feedback about how that person is being perceived around the office.

BUT IT'S NOT YOUR FEEDBACK.

If Joe tells Jane something salacious about Jill, and Jane tells Jill, JANE IS STARTING SHIT. If Joe wanted Jill to know, he'd tell Jill. If Jane is uncomfortable with the situation she needs to get Joe to tell Jill. Joe is not providing any feedback to Jill. Jane is not providing any feedback to Jill. Jane is providing feedback to Joe that she can't be trusted but that's a couple derivatives away from the subject at hand. Not only that, but the only person with any control over the situation is the shit-starter.