Well, although money isn't everything in life, it does take problems off your plate. That's why I don't think a player should pay tribute to any team because no team, at the end of the day, will do the same for you. When you're no longer useful or they have a better option, they'll replace you without hesitation. That's why I don't see this as a bad thing. I would see it as bad if they did something that betrayed what they preach. For example, someone who constantly advocates for health and a healthy lifestyle, then sponsors an alcoholic beverage.
I guess in the high context of what you are trying to point our here is that sport player and club often have different priorities and its up to individual to navigate these relationships in the way that works for them, well given this dynamic, you did made a suggestion that its reasonable for player to prioritize thier own interests and not feel obligated to show undue loyalty to a club l, pulse i think the club are unlikely to show loyalty to individual players once they are no longer more useful or have better alternatives, i have also noticed that relationship between a player and a club is often transactional, with the club primary interest being the player's performance and contribution to the team's.