The need for reprocessing depends on which meaning we part from that 'as' takes as we encounter it. In the topic sentence, if by chance we part from that 'as' means 'because', no reprocessing is needed. If we don't, we have to reprocess. But that's not unique to the alternative without a comma; it can equally as well happen when a comma is used, since 'as' has multiple meanings. For example:
He is depressed, as his wife has just passed away. [as = because]
He is depressed, as his wife once used to be. [as = in the same manner that]
He is depressed, as his wife is aware of. [as = which fact]
In these cases, reprocessing is necessary unless we happened to guess the correct meaning of 'as' at the moment we encountered the word.