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It seems to work for a bit, but then later on you restore blank tabs.  Apparently the Great Suspender links don't survive long-term.  Don't rely on this to work, it works mostly, but not always.
Well!  I just played a bit with The Great Suspender and TO, and it turns out it already works perfectly well together!  As far as I'm concerned, this is a perfect answer.
Since "The Great Suspender" works with "Session Buddy", it might be worthwhile to see if the same integration can be done with "Tabs Outliner".  If so, it could save you a lot of effort in re-inventing the wheel.

The reason I like auto-suspend is simply because of all the memory leaks in different pages.  After a couple of days of having certain tabs open, they balloon in memory usage.  Auto-suspending them solves this problem without me having to "keep tabs" on them.