There are 2 parts to the difference. One is procedural (drawing 4 balls instead of 1), and the other is the actual odds.
As far drawing 4 balls instead of 1, the concepts are very much the same. It should be intuitively clear that every 4-ball combination is as likely to be generated as any other. In other words, each 4-ball combination is equivalent to 1 ticket, and each ticket has the same chance of winning as any other ticket. Having a total of only 14 balls jumping around in the machine does simplify the engineering aspect of it.
Now, I think in the later posts you have indicated that your issue is with the lack of explanation for why the number of tickets for each team (so, the odds) are chosen the way they are. It's a fair issue, but the proportional odds spread suffers from the same. It may have an easy formula to calculate what those odds are for each position in the standings, but that formula would need as much of an explanation for why it should be used as any other odds distribution scheme.
I think it may be a little easier to understand why the NHL did not choose proportional odds distribution by comparing the odds under the proportional distribution, and what the NHL ended up using. The odds for both schemes are posted in this thread. As far as I can see the differences are:
* substantially higher odds for the last place team
* tweak the odds higher for 3 bottom teams
* tweak the odds lower for teams outside bottom 3. The further moving away from the bottom 3, the stronger the tweak (the odds are lowered more).