Leftism is opposition to unjust hierarchy, yes, while rightism is entrenching it. Monarchism and Feudalism are right wing, as is Capitalism, as is fascism.

The basis of Socialism is of removing the unjustifiable hierarchy of the Worker/Owner divide. The basis of Communism is going even further and removing the statist element as well. Anarchism is additionally fully leftist.

Fence-sitting is appealing because many people benefit by supporting the status quo, or are ill-informed.