I actually didn't take "right place and time" to be the sole theme of Outliers although I did think the confusing way in which the book was written suggested that.
I read from it a combination of the two. In a rambling way it said that in order to even be eligible for an "outlier" outcome you needed to have done the 10k+ hours but that doing the 10k+ hours was not enough.
i.e. Skill & work is necessary but not sufficient to end up building an outlier result like Google/Apple/Facebook/Goldman Sachs etc.
I think most lottery winners find luck to be quite sufficient. I think what you mean to say is that luck is by definition scarce, so depending solely on it showing up is likely to be a losing strategy.