Another thing the video makes an issue of is the supposedly missing patch on the arm of a crew photographed in their Gemini craft.
Unfortunately for the video maker, the crew pictured is Grissom and Young from Gemini 3, not Ed White and James McDivett from Gemini 4. Gemini 3 used a different suit.
The G-4C suit was used on EVA missions, and there are many showing the US flag on the arm, for example this one from Gemini 12

Pressurization is a completely different matter making it impossible for the astronaut to attempt his maneuvers. Are you blind,deaf, and dumb?
So, are you joking here, or are we serious this time?
Is your main issue that things under pressure cannot swivel? If so, boy do I have news for you... I used to work for Halliburton, hydraulic fracturing aka fracking. From our (very) high pressure pumps, we hammered together discharge lines to the well head. This was 3" ID steel joints, rated at 15K psi. Before starting the job, the iron was pressured up to 14,500 psi, to check for leaks. We used what's called a Chiksan swivel joint at every point a turn was required in the iron. These were also rated at 15K psi. The pressure did not affect the swivel's ability to rotate.
Do you honestly believe a measly 3.7 psi would hinder anything to turn?