Beech is my all-time favorite tree genus/species, difficult to find healthy ones in the northeast, beech-bark disease has affected most that are in contiguous woods, there are a few isolated patches of woods with beauties but very uncommon.
I like the way you are using the hook to advance, it really comes in handy that way. Also like your custom RADS ascender, should be a product ;-) Your hook work is getting very smooth, practice pays off!
How is the stitched eye doing? I recently sent a few out to be broken. This will be the first test of my "2nd generation" method of sewing compared to the first round of testing of an earlier style of stitching, which tested well. One that will be broken is an eye I sewed for my Hook in 10mm Reep Schnur, should be interesting. I believe the one you have is stupidly bomber, I used a heavier thread than I usually use for 10mm cordage, my fingers were sore for a few days after I made it ;-)
-AJ