Is there an Americano with sugar? From what I understand that Americano is a black coffee without sugar or any other sweetener.
So, what if I ask Barista to make me Americano with sugar? 
Is it still an Americano?
The way I look at it, what you add into coffee doesn't change the "type" of coffee.  The act of adding sugar to something doesn't change the type.  


Drip coffee refers to coffee made by dripping water over grinds
Espresso is water and pressure and fine grind coffee
Americano refers to coffee made by adding hot water to an espresso 
Cappuccino refers to coffee made by adding steamed milk to an espresso


Adding sugar to any of these drinks doesn't change what type of drink it is.  A coffee snob might say that the "traditional" method is have it black, no sweetener but that doesn't make sense.  I get americano's and sometimes get it with milk and sometimes with sweetener.