Well, the time travel aspect of Gary Seven's origins was certainly dropped when they turned the story into a Trek episode. I see no reason to add them over 40 years after the fact.
But the time travel aspect couldn't have been completely dropped. The technology Gary Seven used was certainly not vintage 1960s. And I'm not sure how you explain the morphing catwoman, let alone his knowledge of Vulcans.
So, however you want to slice it, there was some variety of time travel involved with Gary Seven. If it wasn't him, it was the people who set up his pad and recruited/trained him.
According to the novels, the people Gary Seven works for (of whom the morphing catwoman belongs) are observers of the entire galaxy and thus have knowledge of it and all its races. No time travel involved.