Is that not already true anyway? In the hands of the player, any of the "lucky nations" are commonly regarded as "easy starts."
This is not always the case. A new player may not find a country like Austria to be particularly easy, but the random events that they get currently come out of nowhere and help. Flooding even more of these would really mess with a new player, who finds being emperor quite challenging what with all the wars and mountain attrition, then suddenly boom great event, then more suffering, then event...
It fails to hold true in multiplayer, which is already obviously slanted towards these nations anyway. I'm not saying the game should be deliberately balanced for MP, but, you also shouldn't deliberately ruin the experience either by putting in this flood of random events that help nations that are already great.
It fails to hold true if you role play or house rule yourself into enough difficulty.
It fails to hold true if you simply aren't good, whether inexperience, inability, or inebriation, or something else. Some people just aren't as good at certain games as others. I'm horrible at FPS, myself. For some people grand strategy isn't their forte and playing a nation like France is NOT necessarily a total walk in the park.
finally, and very importantly, random events come in 2 fashion - actually random, or just random timing. Events like Burgundian Inheritance not firing can dramatically alter the course of the game. Poland not enacting its PU over Lithuania is a pretty big deal. If all the lucky nations were no longer lucky and instead had similar levels of events to hand hold them to compensate, it would make the game more awkwardly random, if that's even the term. Lucky nation status is at least a very flat bonus, so its consistent and straightforward and can be planned and most importantly balanced around.