5 games were played between teams who played until the end of July and teams who had finished their leagues by the end of June or earlier.

The teams who had more rest, either improved the distance they run compared to their seasonal UCL average or had consistent values.

The only exception here would be Bayern, who had a significant drop in distance run vs Barcelona but:

a) securing the result very early might have led to a slower game
b) Barcelona had a even more significant drop in the same game

The five teams who had less rest all run less.

This is the same table but broken down by match with teams paired accordingly.

All data is from http://UEFA.com 

You could point out that, for example, City might have run less just because they kept the ball more v Lyon (67% says http://UEFA.com ).

But even when they had higher possession % in both games v Zagreb they run far more than they did tonight (and won both games).

Also worth noting that this analysis applies to only 5 games in which the 5 winners happened to come from those leagues.

It does not work if applied to UEL games:

Shakhtar beat Wolfsburg, Basel beat Frankfurt, Inter beat Leverkusen despite having less rest.