First of all, let's start with the fire hose on Earth and what is acting on it and why it goes mental if left alone.
Once the pump is started, it forces the water through the hose at pressure and the faster the pump, the faster the pressure.
Pressure isn't a speed.
If you have the hose nozzle turned off, the water will rush into that hose and fill it and then the hose would be laid there doing nothing.
Correct
Pick up that hose and open the nozzle and you feel the pressure of the water push back against you. The water is flowing in "one " direction only and that is away from you, against two acting forces, which are the the atmosphere and gravity.
The water is indeed flowing only one direction and
yes it would act against atmosphere and gravity. REMEMBER THIS.
The faster you push the air away, the faster the air comes back which creates a force against you,
That isn't really worded correct but the idea is correct, yes air resistance exists.
Naturally you get told that it's just the mass of the water alone that does this, yet if you were to walk into a thin roofed alley way with the same hose , you will find that you would be blown back onto your arse because the water is compressing the air inside that alley meaning that the air is now acting like a...... for want of a few better words, an "air spring"..
I'm not quite sure what you are trying to say, but the water coming out does disrupt the air. But air and water don't force each other as much as you think. If you turn a bottle of water upside down, air can't hold the water in. Air resistance slows down the water after it leaves the hose. Air resistance does not effect the hose.
All that the water in the hose is doing is creating a friction against the air which is why you are forced back.
Untrue. As you said before, water coming out is impeded by air. As you said, atmosphere applies a force to the water. The water is not the hose. You said this yourself. Although atmosphere has little force on the water coming out of the hose. In a vacuum, the water would be unimpeded by air and could actually come at a little faster. Air resistance slows down the water after it leaves the hose. Air resistance does not effect the hose.
Picture it like this.
Go and run down an alley that is closed off at the end and that it is exactly the same width as your shoulders and 1 inch above your head height and roofed, meaning you can run and your shoulders are mildly touching the sides and not really impeding your movement.
Run as fast as you can towards the wall at the end and you will find that it gets harder and harder to run the closer you get to the end, because what you are doing is compressing the air.
Not entirely true since air can still go around you. But yes, air can be compressed in a confined space. Key word, confined. The hose in the video is not in a confined space. If you take your same experiment but do it in a vacuum(yes I know you can't really do that), does that mean you can't run in the ally, or you can run easier in the ally? You could run easier, your force has no opposite force acting on it so you have no trouble hitting the wall.
When a hose gets left on the floor with the nozzle open, it acts like a mental snake because it is working against air pressure which will push it from side to side because the hose is uneven against it so it pushing the air in all directions making the hose act in this manner.
Incorrect still. As you said, air acts on the water. The hose acts like a "mental snake" because water is leaving the hose. As you said if no water is leaving the hose, the hose doesn't move.
You take away the air/friction against this hose and it would simply shoot out its water in the direction it's facing and would not act in a wriggling snake like manner.
You said the air is against the water. Why are you changing your mind?
The only reason friction/air is denied in experiments is because it would immediately kill off space travel and they know this, so Newtons law comes into play but Newtons law is manipulated to factor in space.
Air friction is not denied in experiments. If I shoot a bullet at a target, air will slow the bullet down as it travels. If no air is present to slow the bullet down, the bullet will not slow down. Noone denies this.
You are just confused. Here is another thought.
A .308 caliber bolt action rifle will have more felt recoil than a .223 caliber rifle. A .308 bullets are around 160 grains and velocity at the muzzle around 2,700 ft/s. A .223 bullet with a mass of 55 grains will have a velocity around 3,200 ft/s. Why is it the faster bullet has less recoil? As you say, it "compresses the air faster".