I was one of the global approvers (and also on the Python team until my role at Google was eliminated recently). I no longer have access to the stats, but from my memory, there are currently 50+ global approvers depending on how many are still considered active.

Typically, code authors would create a proposal by filling out a doc template. It's usually light weight and also accompanied with examples or full set of the pending code changes. Then 1-3 of us will review and LGTM the proposal. As part of the review, we also determine whether the changes should be sent to local code owners, or "globally approved" by one of us. The default option is to use "global approval", unless the changes need local code owner's knowledge during the code review. Said in another way, when sent to local code owners, their role is not gate keeping the changes, but to provide necessary local knowledge where we as global approvers don't have.

Refactoring changes, such as formatting or API migrations, shouldn't bother local code owners because 1) it would just be a waste of their time to review and approve; 2) in practice, we find a central code reviewer for the same large set of code changes is more likely to catch bugs (with review automation tooling) than local reviewers.

We consider ourselves as facilitators rather than approvers or gatekeepers of the code changes. Our goal is to make these changes done more efficiently and save engineering time when possible.

If you like stats: over the past 5 years, I have reviewed ~300 such proposals and ~40K changelists (equivalent to PRs). One changelist/PR typically contains 10s to 100s of files depending on the nature of the change. When I was most active, I was about ~5th-ish when ranking the number of changes we were approving. There are many global approvers who have approved more than 100K changelists, which is a milestone we celebrate with a cake. Too bad I didn't have the chance to have my cake.