RPG combines role-playing AND gaming. You can role-play without the boundaries of a game and you can game without the creative freedom of role-playing. So RPGs HAVE to have both elements to exist as named. People are trying to argue that because a piece is integral to the whole that it defines that whole. This is not the case because that argument would have to work backward as well as forward and if it doesn't the statement is false (basic concepts in mathematics that people should have learned in high-school).
Take this example:
Statistics are the fundamental characteristic of RPG's.
Try saying it backward:
RPGs are fundamentally characterized by statistics.
What is wrong with that statement? RPGs are made of 2 elements and one of them is missing from that definition, role-playing. The same can be said for trying to say that RPGs are characterized primarily by role-playing. That just will not work.
You can role-play combat without statistics, but the stats turn that combat into a game. Stats provide the method of defining the game while Role-playing is the method of applying those stats within the game. Social interaction and narrative manipulation within an RPG has options for a character based upon statistical guidelines (such as: personality, skills, attributes, fame, karma, etc...).
Stop trying to define the genre by only ONE of its aspects. It is both Statistics and Role-playing. Everyone will lead much happier lives when you do.