You're actually helping to make his point. You're a new user; you help determine what hits the front page by voting in the "New" section.
barrkel is extrapolating his own behavior as an older member: he tends to only consider front page items for upvotes.
Thus, new users determine what makes the front page, all users help determine the front page ordering, and "classic" view reflects how old users would order the front page.
The question is whether barrkel's voting patterns are an appropriate model for older members. Personally (as another older member), I visit "New" perhaps once a week, but when I do I'm much more likely to vote up a story that I find to have even a little bit of value. I only vote up front page stories that I find extraordinarily useful or interesting.
There is no reason to assume that the interaction model used by barrkel and me are representative of all older members, so while his argument is interesting, it's not very well supported.