Ah ok I get what you are saying. The thing is, in Karnataka, we use Vade/Vada interchangeably for "Medu Vada" even though it is not the same as "Vada" in "Vada Pav". Hence the confusion. Thanks for the correction!
I hear you. I've lived in both states. I also think it's cool that the Medu Vada is different in Coastal Karnataka (Mangalore/Konkan region), Inner Karnataka, Goa & Tamil Nadu.