As you say, the lore book refers to it as the "common tongue of the Hyur", but Koji does refer to it as "Eorzean" during interview answers.
I'd say either is viable - although "Common" has more support as an in-universe term (the lore book is, after all, a document written from an in-universe perspective, whereas interview answers are 100% meta), "Eorzean" clearly isn't a non-term as I feared it might be given its apparent absence from the lore book.
I'd say either is viable - although "Common" has more support as an in-universe term (the lore book is, after all, a document written from an in-universe perspective, whereas interview answers are 100% meta), "Eorzean" clearly isn't a non-term as I feared it might be given its apparent absence from the lore book.