Most jump suits are like 50% polyester or other synthetic and the thread is actually that color, and then like 40% cotton and the rest is like the chicken at mcdonalds.
Im not sure that synthetic fiber can be dyed. I tried also with a dark one, but had no luck. Most dyes wont dye synthetic either, youll have to get a synthetic dye on the internet.
I think if you go too chemical with your bleach, youll destroy the threading, but not sure.
I have a jump suit i want dyed, I may try rit and bleach and see what happens.