Yes, but for some things (like weather, tech gains, combat and sub dives) the luck will probably average out over the course of the game. Also, you can't compare a sub diving (often for just an extra turn or attack) with the US joining before France falls. One is an annoyance, the other is a game breaker. I was not aware that the UK and France could each invest 4 diplo chits in the US. I assumed it was just 3. Had I known that I suppose I would have reacted differently. Though exactly what I could have done differently I'm not sure. Invested earlier in my own Diplomacy in the US I suppose. But the odd thing is that didn't actually hurt me. It wasn't until after I did invest that you started getting the hits. Anyway, once the US joins I will probably surrender as it will be game over. Good Game you outplayed me with an excellent strategy. I would like to try again if you are willing, to see if I can counter your strategy (or whatever new strategy you come up with).
Luck did even out in a way, Germany getting 3 hits in 4 turns of 15% diplomacy is certainly even less likely to happen than 4 hits of months of allied balls to the walls diplomacy. I'm not ready to call it a gamebreaker strategy yet. The allies did spend some 1800mpp to make it happen, that's that much tech not researched or units produced, plenty of weaknesses to be exploited. for example, even if USA has already activated, the opportunity cost for Vichy, Sealion, Gibraltar and Middle East advances are removed.
The UK and Germany have 5 chits. Italy and France have 3 each. USA doesn't have any cap like Switzerland and Spain have so all 8 can be invested if money allows. Once France is out the Axis have numerical superiority and could technically roll USA's influence back.
April 3rd start of turn situation

The French center was not fully renforced at the start of Case Yellow. I tasked the UK and the belgian armies into holding the line a couple of turn to give time to prop their readiness up. With USA subsidies any UK losses can be rebuilt relatively quickly.