Ask HN: Would zeroing your worst level scores daily encourage daily gameplay?

For example, a game might give you one to three stars for each level that you pass.

Every day, the game would zero the stars earned on 10% of passed levels with the lowest (non-zero) stars.

The idea is to encourage users to play daily to preserve their highest level star ratings and rank more highly in a global leaderboard as a result.

Would this work to encourage daily gameplay?