Let me clarify a bit. It has been my experience (and I’ve played this game about 50 times if you include only the online clubs DAAK, FoE, AAMC and AA.org) that the 1941 game comes down to a few factors:
1) If Germany is at all hesitant in the first round, the axis tend to lose. (By hesitant I mean not going for the jugular against their chosen target whether it is taking out Russia or sinking the British fleet.)
2) Egypt is irrelevant. England can keep it for their first turn and it won’t affect the outcome of the game outside of how big Italy gets and when. (i prefer to strafe Egypt at least so that it cannot be defended against Italy.)
3) Heavy Bombers or Long Range Aircraft at an inappropriate time can make a huge difference to the field of battle, but it won’t change the out come of the game, probably. (Because the other side is probably close to getting them or already has them by that point.)
4) Paratroopers are just insanely strong. There’s some short comings to them, but it’s more having to defend against them than any combat ability they poses inherently.
5) If the dice go bad for Germany in round 1, it’s going to go really badly for the axis. By badly I don’t mean you take heavy loses, I mean you get STOMPED. Heavy losses you can recover from if you succeeded in most or all of your battles. Heavy loses and failures (ie stomped) is a death knell.