Late to the game as I was out of the country last week for business, but was able to grab a couple of pics and a quick (poor quality) video of how I use the bucket thumb.
You can see my general technique is to approach the log with the bucket vertical, close the thumb on the log, then curl. I seem to be abel to curl the weight of a big log, even if I can't lift it. Meaning once I've curled, I might not be able to lift the log anymore, but I find I've already gotten enough height for cutting, and probably more than I want for transporting that much weight around.
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Here is
quick video