I think "proxy_cache_use_stale updating;" covers this case
The way to work around this issue with nginx (for simple endpoints) is to write scripts that will hit the endpoints to make sure the cache is always hot, but it's a sad, half working hack (the CEO can still hit that cold cache page himself, if lucky enough).
[1] - https://www.bountysource.com/issues/972735-proxy_cache_use_s...