Towers Feel UP Late game

I just had a thought, as the game progresses the tower becomes less and less a threat to the point that you can be tower dove at no expense. So I was thinking what if the towers did true damage to champs only and it scaled up through the match. So that in the mid and late game, the towers are still contributing to the game in a matter that helps the team that is getting dove. You shouldn't be dying under tower and the enemy not even threatened by the tower. Just a thought. What do you guys think?