Josephenine ...
That's why I haven't pulled all of the oxalis, which I truly hate. Until I have something to replace it, or can mulch the areas it has run amoke properly to allow other plants to become established, it does stop erosion. I just hate that it is so well established. I am transitioning my garden.
It takes time to take a garden from a "well-groomed-weed-controlled" garden that is more of a wild garden. In that process, there will be some plants that are far too invasive and will smother others. Oxalis just happens to be one of mine. I still want it gone so that others can shine.
I think even when we move towards a less "less controlled" landscaping approach we can edit the garden so that other plants can play a more significant role and serve the same purpose of erosion control than the thugs.