This very intereting topic comes around every so often and I'm glad it does. I was a woodworker before I started making bows seriously and I brought many woodworking skills into my bowmaking hobby....including using glues of various sorts.
I never used hide glue in my woodwork because I was told it was a hassle, it had a very short shelf life, and it was outdated. I was told it was best used on restorations, glass etching, crackle finishes, musical instruments, and application of gold leaf and such. And, of course, envelopes. Anyway, I began using hide glue when I started sinewing bows. I bought only the best grade stuff, invested money in a glue pot (not the expensive type), and read as much on the subject as possible. Then I used it on a bow. Boy, was that a shocker. I think it took me 6 hours to sinew my first bow....not including processing the sinew, soaking the hide glue granules, and setting up a work area. The biggest differences between working with sinew and working on wood joinery is the fact that you get the glue all over the place, you don't need to apply clamping pressure, and you're working with stuff (glue-soaked sinew) that will stick to you better than it sticks to the wood.
Point is, applying sinew is not like gluing up a joint. And the strength needed to keep sinew attached to the back of a bow is not the same as the strength needed for woodworking. I've never used liquid hide glue or knox, but I've heard they work fine. The liquid hide glue has a limited shelf life, so it's risky to use unless you know the manufacture date. I don't think they print it on the bottle.