As discussed in https://chromium-review.googlesource.com/c/chromium/src/+/1249064, we should avoid propagating booleans all over the place.

Mounir wonders if we could have something like Close() and Shutdown() if we have some correlation with (true, true) and (false, false) usage.

This bug is to keep track of this improvement as https://chromium-review.googlesource.com/c/chromium/src/+/1249064 landed.