Pretty sure there's only one - destroy the enemy ancient.
And I don't think many people are going to be convinced of your argument to eliminate split pushing strategies based solely on "I don't like it." We have an example of a company attempting to do just that and most of us consider the efforts Riot takes to ensure their vision of the game is kept intact detract from the experience than enhance it.
There are many ways to go about destroying the ancient!
Also, I'm not making an argument to eliminate split push. I am simply saying that I dislike the strategy. I have no reason to remove it other than my personal opinion, i.e. I have no argument. I'm just expressing my opinion. If I wanted to make an argument I would have like a list with bullet points of reasons why I think it should be removed or something.