The 3rd party Avery one on Creative Market doesn't seem to match up with my Avery book. Some of the names are the same, but the codes don't match up. The guy who made it says it's based on something Avery has published, so I'm digging around to see what I can find online.
EDIT:
It looks like the guy got the swatch codes from an old Android app that Avery used to publish. Unfortunately, it appears the swatches are based on vinyls that Avery sells in Europe, which are a different from what we use here in North America. I'm not sure whether it's just the names that are different, or the colours as well.
If I put a bit of time into it, I might be able to translate them all to the North American colours. Might be worthwhile since it would save me a bunch of time whenever I'm sending design proofs that include Avery vinyls.