You would be mistaken, for a couple of reasons. One of them is the aforementioned divisional pride. If the team that wins my team's division goes all the way, I can take at least a little bit of pride in that. Also, I married into a family of Bear fans and my grandsons are being raised as Bear fans. If the Packers can't win, I'd very much like to see the Bears win, just for them. As much as I love my team winning, it's hard seeing friends and loved-ones always in the dumps.
I would very much like to see this division turn into an all-out dog fight between all 4 teams, while they all just dominate their non-divisional opponents. I'd LOVE it if both wildcards came out of this division and only lost in the playoffs to other teams from our division, meaning the NFCCG featured 2 teams out of our division. It would be extremely exciting.
It will never happen but imagine if all 4 teams went 13-3 because they all split their divisional games against one another. In that scenario, they'd all have the same record vs common opponents as well. The last game of the season could be crazy meaningful, with "points for and points against" tie-breakers looming large. If the Bears BARELY squeaked past the Packers in the NFCCG, you're damned right I'd want the Bears to win it all. Then I could at least tell myself that if the Pack had just pulled it out against the Bears, the Pack would have won the big one.
It could also be an age thing. Maybe I'm just going soft. As a younger man I would never have been able to root for the Bears for any reason.