yes i should think they'd fit quite well over the tb, not sure about the others as havent tried them, the flip covers are brlliantly stretchy too. good luck x
I find they are a bit on the small side for my chunky DD (aged 11m) for over a bamboozle. The Flip fit fine over a bamboozle stretch but the original bamboozles are a bit bigger and I boost with another bamboo booster. Motherease rikki (large) fits over adequately and there is still plenty room.
I think it will depend on the size of your baby and maybe won't work so well on older/bigger babies.