Perhaps. I am not sure exactly what you mean, so I will go at from two different ways.
When they track attempts at getting the puck out of your own zone, when you get possession one of three things can happen:
1) Failure - so that is no exit (for instance the puck gets turned over) or icing the puck.
2) Exit without possession - dump it out and lose possession (the other team is likely to regain entry into your zone)
3) Exit with possession - pass, carry, dump and recover.
Exit with possession is extremely important, as you not only get out of your own zone (reducing offensive chances against you) but you are also very likely to enter the other team's zone with possession and start creating offensive chances. The Leafs were not good at exits with possession last year (and for many years) and they get trapped in their own zone.
So what the numbers in first post reference is the Leafs forwards and their ability to exit with possession. All of the league's players are compared for percentage possession exit (as contrasted to failed exits and exits without possession) and then put into percentile. So for instance Tavares at 96th percentile means that only 4% of the players in the league are better at exiting with possession (When Tavares gets the puck he either carries it out, passes it out to another player or dumps it out in a controlled enough manner that the Leafs recover the puck). Komarov was in the 18th percentile, meaning that 82% of the players in the league are better at exiting with possession. He is far more likely to either to ice the puck, fail to get the puck out of the zone, or do so with an uncontrolled dump in which the Leafs fail to recover the puck. (Polak was not included as I only included forwards, but he was in the 3rd percentile for possession exits - which is beyond bad)
That is a good explanation.
On the flip side, that is why these advanced stats, people won't believe them.
Ever watch a playoff game or a tight regular season game, where they concentrate on the other team's top scorer? What does Kadri do? Once someone like Tarves for instance, gets the puck, everyone on the other team starts backing off. Well, if Tarves has good zone exits, well this kind of obvious. The reason is that he is so good, you back off once he gains possession.
The weakness of Bozak, was besides being soft, he was never a good puck carrier. That's why he always passed it to Phil.
Same for JVR. In his younger days, he could beat the defenseman wide. He could carry the puck out. Later after losing 2 or 3 steps, he never did that anymore.
As for everyone else, it's a case of whata you expect.