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If you value privacy, ditch Chrome and switch to Firefox now
(www.fastcompany.com)
This is a most excellent place for technology news and articles.
This (and the other suggestions below) are what I've tried previously.
It's close but Google's got the native solution and the "window-level" containers that have individual per-container icons make it much easier for me to sort my sessions. Unfortunately it looks like Firefox still has them relegated to a single taskbar item. I guess this is necessary since container tabs can be moved between windows unlike Chrome which draws a hard line between windows. I guess this is just the method Firefox went with but it makes my processes a lot more difficult.
Thanks for the suggestions. I'll give it another go and check out ungoogled Chromium as well.