Thank you for your reply. So I take it I'm safe to assume I should always back bows this way (outer bamboo facing out on bow's back), but I was still puzzled (esp. after you're asking me to demonstrate this with plain bamboo) why on page 152 of The Bowyer's Bible Vol. 4 a world class craftsman, researcher, and writer says either plain bamboo billets, or a thick bamboo self bow should be just the opposite, again claiming lignin-rich outer boo compresses better as belly and the fibers take tension better as back.
I think I've found my answer playing with some of the thick, lumber/timber size bamboo I was lucky enough to harvest and split from a nearby swamp it somehow got started in.
If one shaves and sands down the inner fibers to tiller or meet whatever specifications, using the inner fibers as exposed back would do as you say and peel up.
But the author must be referring to primitive, quickly made, or survival plain split bamboo bows that are not tillered by reduction of thickness. After being split, these examples seem to have been only tillered by shaving the sides, width only and not thickness -- then the fibers don't start and stop all over the place on the inner bamboo surface (conversely used as back in this application) -- rather, they are unbroken strands that run the full length, with the exception of some from tapering the flattish bow only on the sides... and his only recommendation there is to leave no raised sides from the natural curve of the cylindrical plant. There are pictures of a couple plain, unlaminated bamboo bows, one with impressive fps stats etc. for its specs., with inner bamboo fiber used as back. I do have enough bamboo now that, despite my main intention to back bows with it, outer bamboo surface used facing out as back like appears normal (this is a next progression for me as my only two this far have been self bows) -- despite this I do have enough to try a bamboo self bow with the abnormally thickest bamboo timbers, and I was going to instinctively use the outside of the boo as back until I read this pg. 152, saw those, and the "science" behind them, which got me on this question.
Thanks again -- I guess the best way would be to make a self bow of each for experimentation, as that leaves me, still, many lengths for my main boo-backing next project. I now know to invariably use the outside out on back when laminating, at least