If the cache mode is no-store, we must not interact with the cache at
all.
If the cache mode is reload, we must not use any cached response.
If the cache-mode is only-if-cached or force-cache, we are permitted
to respond with stale cache responses.
Note that we currently cannot test only-if-cached in test-web. Setting
this mode also requires setting the cors mode to same-origin, but our
http-test-server infra requires setting the cors mode to cors.
