Yes, they do require excitement. The atoms in a balloon are excited and are attempting to reach an equilibrium with the excitement of the outside environment.
No, they don't. You can move atoms by hitting them with other atoms, you can move them with electromagnetic fields. Further, the balloon is applying additional force from elasticity.
Lack of temperature = less excitement. Do you deny this?
No, not at all. Lower energy levels = lower temps.
The lower temperature of the liquid nitrogen caused the atoms in the balloons to be less excited. Do you deny this?
No.
Do you deny that if we were to put the balloons in a high temperature environment that the atoms would try even harder to escape?
They will move with more force, correct.
Temperature matters.
I never said it didn't. But it doesn't matter in the way you think it does. You are conflating excitation of atoms with density. Cold air is more dense and has a higher pressure than warm air. In warm air, the molecules apply more force via their fast speed, but are also more spread out, which causes the pressure to drop. Things aren't always as simple as we'd like them to be.
By what physical mechanism? You are just mindlessly repeating that high pressure equalizes into low pressure environments without really even explaining, or THINKING, why that is.
Second law of thermodynamics. Or, if you want to talk purely pressure, it is an equalization of force. Matter pushing on matter.
What would be the difference between an Iron atom sitting at the bottom of a balloon and the gaseous atoms trying to escape the balloon around it? Why doesn't the Iron atom try to escape? The reason is excitement. The Iron atom is not as excited as Oxygen or Helium.
You should probably lose the balloon analogy, it is only hurting your cause. The energy level of atoms can change - you can't say one is more "excited" than the other. You can say that an iron atom is heavier than oxygen and far heavier than helium, which is light enough to be lost to space.
If the atmosphere were composed entirely of Iron atoms, would you be telling me that they would be sucked off of the edge of the earth?
It isn't though, so you can spare us that strawman.