You can't request for Loyalty from the players if the Organizations/Teams themselves have no Loyalty to said players.

Plus, there's the fact that Organizations have squandered the primes of multiple superstars. The Timberwolves and Kevin Garnett comes to mind. OKC and KD/Russ/Harden/Ibaka is also another example of a squandered core, since management was too cheap to retain Harden.