Master is stable-ish-- at most points, it's stable enough to be used in Chrome Canary. The downside of master is that it updates frequently, and if you're only interested in knowing when there's a critical stability or security update, it's hard to separate those on master from the routine development work. Choosing a branch used by stable or beta ensures that, if we need to make a significant fix that affects that branch during the lifetime of the release, it'll appear on the branch, and you can take the update without also taking all the other changes that have gone in to master.
That said, Chrome releases have a limited lifespan-- the usual time from when a branch becomes Beta to when it is retired as an outgoing Stable release is 12 weeks. So choosing a branch used for a stable or beta release will only get you a short window of updates in any case.
(There's more detail on choosing a branch here:
https://chromium.googlesource.com/angle/angle/+/master/doc/ChoosingANGLEBranch.md )