This would unfortunately result in the same outcome as those with more free time would be able to apply it towards a new high score in the same way.
Disagree. Not all people have the same skills in the game. Maybe your highscore is 100 and of another player 50 but because he had time to play 50 times he won anyway.
Right, but wouldn't the player who plays a lot more gain more experience as they play enabling them to score higher than the one who only plays a few times?
yeah sure but experience is not the only thing deciding if you make a highscore or not.. Some people are just better at things then other people.