They're sub sandwiches; sub sandwiches are also made of meat between hinged bread lying on its side.
I think it's almost too carefree to call a sub a sandwich.
It's almost like calling a baguette or a panini a sandwich. I think to classify any 'item between bread' as a sandwich is to sully the good name.
IMO, it needs to be two seperate pieces of bread cut from a square loaf, with something inbetween.