I liken it to open or closed questioning. What mode are you in when engaging the user in the particular task you are designing? Who is leading the discussion?
If you want the user to explore, to lead the task, then offering multiple options on a page can be better. If you want to focus the user and lead them through a task, then one action per page will usually yield better results.
Consider a typical ecommerce situation, the user would have multiple options to browse, search, explore the store. Once they've made their choice(s) and decided to check out, you need to focus them on that task. Remove navigation that might tempt them away from getting the transaction finished!
So in my view, there is a time and a place for both and often on the same site!