To clarify my previous comment ... ideally, YES. I agree that it would be great if STHs were all actual fans of the team who intend to either attend games, or share tickets with other fans of the team.
But a team simply saying, "nah - we're not gonna let you renew," seems like a dangerous precedent to me. Dangerous for the team.
It's reminiscent of the TB Lightening not letting anyone wearing the opposing team's jerseys into the game.