The addition of the CCG will have an impact on The Game. But it needs to be protected as much as possible to keep it special.
Let's look at other rivalries that have been affected by conference and divisional changes:
Bama-Auburn: In the same division, kept as the season-ender, and they hate each other about as much as ever Status quo
Bama-Tenn: In separate divisions, they kept the 3rd (or 4th) Saturday in October traditional schedule, but most folks outside the South don't even know this is a protected rivalry game Status quo
Fla-Georgia: In the same division, kept the WLOCP location and timing, and it's still a great tradition and a game that matters Status quo
Okla-Neb: split into separate divisions, didn't retain the protected rivalry status of playing every year, and a game that was once in the top-5 of all college football rivalies pretty much withered away Downfall of this rivalry has A LOT more to do with them not playing every year
Okla-Texas: placed in the same division, kept its traditional timing and location at the Texas State Fair, and has blossomed into one of the top-5 college rivalries Satus quo
Fla St-Miami: placed in separate divisions (most fans can't tell you which team is in Coastal and which is in Atlantic), and the timing of the game was moved from the second half of the season to the opener in order to allow the losing team to have a chance to recover for an NC run, and to have time between the first game and a possible CCG rematch; the timing of the game has been moved again (I'd have to look up when they play this year), and they've yet to meet in the ACC CCG Possible case study, although I think the rivalry dimishing has a lot more to do with the quality of these two teams since ACC formed
USC-UCLA: Ask most fans in LA about the placement of the teams in PAC-12 divisions in the next couple of years and they'd say "Whoa, did the Pac 10 expand?" I LOL'd at this, but it's irrelevant as a case study
So, to sum up:
Same division: Bama-Auburn, Fla-UGA, Tex-Okla - all are still a big thing
Separate divisions: Okla-Neb, FSU-Miami, Bama-Tenn - none of them are what they once were
I think it shouldn't take a PhD in Astronomy to figure out what to do with TSUN and tOSU.