Probably not. It’s not the first time since Gillian is “single” that she attends a lot of events with the same (male) person. There was a few before PM, especially when she’s in the U.K. I guess the rumor of them dating would still be a thing in the fandom, because we know every time Gillian and David hang out near someone of the opposite sex, they’re right away rumored to be dating this person, but it would be less strong. There would be less “articles” in the press because they’re all based on Page Six. The rumor would probably be dead already.