ACTIVE doesn't have much to show for it, does it? Effect sizes are small, and some are almost absent, while there are differences in other factors between the groups with the same magnitude (drinking, cholesterol, diabetes, subject withdrawal, etc.). The calculation of the effect size is also dubious: it assumes the changes are linear and independent of the starting position, and the baseline is not within the group, although I can't see an easy way to get an objective one either.
As to the statistics: it's p-values all over, with all of the associated problems. The p-value for article [4] gets just below the 0.05 mark, but only for speed training. They also do two other comparisons, which are nowhere near significant. That is really suspicious, and there's no correction for multiple comparisons.
All in all, this short inspection doesn't convince me the OP article has it wrong.