I completely disagree.
I think that is something fans want to believe but unless you're playing QB, WR, or Corner then eventually that love of the game is going to fade for a lot of guys.
The NFL is just too much of a grind and on top of that they are adding another game.
I think you can hate playing football and still be incredible at it because ultimately the NFL is a job with too many incentives that come with it to not want to be your best.
Yeah, I think fans are kidding themselves if they don't realize a huge portion of players have utter disdain for the game and the entire industry and culture around it.
People assume because they make good money and they're doing something that earns them praise and other perks, it must mean they're living the life and totally in love with their profession. But they're humans like anyone else. Well-paying jobs can still be a miserable grind. Especially one that breaks you down physically, requires you to maintain the fitness level of a world-class athlete year-round, and exposes you to endless criticism from media and "fans."
They still have highs and lows and, like any human, they construct narratives about their life and the way they live it.
A good chunk of football players privately think the sport has harmed their life (if not outright ruined it, depending on the extent to which they've been impacted by the uglier downsides -- health problems, or personal relationships being ruined or tainted or defined by the money/celebrity the game brings). Plenty of guys grind away unhappily looking forward to the day when the game doesn't have its hooks in them anymore.