The loss you experience from taxes on short term gains kill any possible advantage that short term trading might get you. As always, infrequent trading and asset allocation win out.
I looked at the spreadsheet they used to calculate this, and the gap is widest in the most recent year of data; ie, in 2013, when the market went up 32%, and the active trader made 41% (and they were starting at the highest portfolio value up to that point). In that instance there is a very wide gap opened by the magnitude of the taxes. Most other years are not quite so drastic. But this still shows that you don’t really do much better — maybe the same at best.