Why would you want to change the type of "as"-clause to a type that is different from the one you are trying to understand?
If one were trying to understand the nature of beer, would it help to change beer into wine and analyze wine?
I really don't think we needed to be banished to Siberia (the Linguistics sub-forum of Using English) discussing twelve permutations when it had already been shown that anaphora is irrelevant to determining whether the interpretation is contrastive/concessive or circumstantial, that putting being at the front changes the nature of the construction altogether (such that the two types of structure should not be analyzed together), and that any given case can potentially go either way.
There aren't twelve relevant options. There are two: circumstantial and contrastive/concessive. The reason I entered this thread was to demonstrate that the circumstantial interpretation is possible and received in respected grammatical literature. I have accomplished that goal. Showing that sentences which seemingly need the one interpretation or the other can be pushed the other way be imagining a different context was icing on the cake. I do not see the need for twelve permutations.

Student or Learner