#4 Champions League performances and European Golden Shoe

Okay, now this could get a little ugly. Cristiano Ronaldo has five Champions League titles, Lionel Messi has four. Ronaldo has more goals in the Champions League and has won the competition's Golden Boot more number of times than Messi. Then, how is it that Messi appears deadlier than Ronaldo on this stage?
Before we start, it's safe to say that to draw up a comparison between two players, the duo must have equal number of chances to prove their worth, meaning both should have played an equal number of games. Since that is impossible, the average figures come in handy to settle the tie.
Ronaldo has 128 goals in 171 appearances while Messi boasts a tally of 113 in 138 games. The Portuguese ace scores 0.74 goals on an average in contrast to the Argentinan's 0.81 goals per game. Also, Messi has 6 European Golden Shoe awards as opposed to Ronaldo's 4.