Membrane definitely off. Tried cooking ribs with them on years ago and cut into 4 bone sections. Despite how tender the ribs were, the membrane kept them together, forcing me to have to tear the bones apart. This caused the meat to fall off the bone and onto the ground. Yep, at one time I thought FOTB was the way to go too.
Butter knife & paper towel is the easiest & best way to remove the membrane. I can usually get it all in one piece, which keeps me from having to fuss with some tiny pieces left behind.