I think the biggest issue with the 'even' line theory is that they aren't really even. Spreading scoring out across your lineup is important, its too easy to shut down a team with only 1 dangerous line, but trying to roll 4 balanced lines for approx 15 minutes each means that some players will be in over their heads, and its likely to have an impact on the play of your better players as well.
We know that guys like Zib, Zucc, Kreider etc can produce playing 18+ minutes a night, so why limit how much time they are on the ice so that Neives and Vesey can get more playing time? You're literally robbing your best players of opportunity in the quest for 'balance'.
Likewise, what does playing with a basically untested centre who is up against harder match-ups do for a guy like Kreider. Does he have to spend more time in his own zone having to defend because Boo is being outclassed by his opposing number. Is he having to spend more time up against the boards on the O-zone trying to dig out pucks because Boo doesn't have the skills to dish the puck to him effectively? If so, it means that Kreider will be more exhausted when he finally actually gets the puck in useful positions, and so you've reduced his effectiveness instead of pairing him with a guy who enhances his skill-set.