"What are you? Dr. Phil? Get outta here go... go swing the bat." - Ben Wrightman
Yeah, I'll side with those who rationally state that it's not "just a game". If it's just a game or just football... I'm not interested. But, it's more than that and because of that... it grabs my attention. But, for those that can't get beyond the sting of a loss... good advice in the OP.
All this talk comes up every time there's any uncertainty. A wise .netter once said this is a passion, but not a priority. While we all stake the claim of "fans", some "follow" this team with a passion. That doesn't mean we got priorities mixed up. So, that's where the OP errs in trying to be helpful. Passion can be shown distinct from priorities. It doesn't mean those who decide to blow off some steam in sports forum are off-kilter.
Yeah, it's football... not "just" football. Part of what makes the game great and enjoyable is that it's only 16 game regular season. It's not like the NBA or MLB where there's a bazillion games and each one isn't that meaningful. I've heard it said before that football is the greatest "water cooler" or "break room" sport. It's great because it fosters a week long discussion. .Net is just a modern, sophisticated break room. I'll stop there and not describe the differences. But, you get the picture.
Yeah, it's entertainment - but, that doesn't always go your way. If you're let down after seeing a movie that didn't meet your expectations, people tend to share that. When a game doesn't go our way - I say ESPECIALLY Football (the ultimate team game, if you ask me), we're human and will likely display some passion about that if we have any sort of genuine pulse for a team.
We talk about fans whether they're "genuine / real" or not. We all get pretty well invested time-wise, emotionally, mentally, etc. We've also gotten pretty good at kicking others when they're down and make that part of the experience. But, you take the good with the bad. Still, the losses (granted only one important divisional game) do sting a little more during this era of high expectations.