According to Dr. Pete, Pete Meyers, from Moz any algorithm update that impacts query or related things will eventually affect the featured snippet as well. Earlier this was tweet by Google’s John Mueller so this is count as a vote of confidence.

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Tweet By Dr. Pete Meyers

General FYI — Any algo update that impacts query interpretation or relevance will impact Featured Snippets. Featured Snippets *are* organic rankings, and they're still (best I know) selected from page one. The selection is a separate process, but they're built on the core algo.

— Dr. Pete Meyers (@dr_pete) November 6, 2019

Another Tweet Regarding The Same:

I've seen a lot of featured snippets lately with URLs not ranking on page 1. (I've wondered if perhaps those URLs used to rank on page 1 and the featured snippet just hasn't been regenerated yet. In which case, the featured snippet position may be not long for this world.)

— Vanessa Fox (@vanessafox) November 6, 2019

Google Explanation:

Google has told numerous times that any update in algorithms will result in the impact of features snippet which includes BERT as well. Further Google added that featured snippets are heavily using machine learning and are beyond just BERT.