Hillbilly, I do not think the TBIII induces as much reflex as hide glue does so I make sure all of the desired reflex is already in the bow before applying the sinew. I use my boiler room for a hot box (stays about 90-100 in there and I can fit a dozen bows in it) and place each of the tips on a five gallon bucket of while hanging a one gallon can of paint on the handle. With a floor tillered bow I get about 3-4 inches of additional reflex with hide glue and 1-2 inches with TBIII.
Abd, I clean the back of the bow with rubbing alcohol and put a thin coat of seizing glue before applying the sinew (soaked with TBIII) and haven’t had any problems with bonding. This is the same procedure I use when using hide glue.