What resolution do you use to record in 4K? The real 4K or the fake 4K?
I'll explain myself. There is a general confusion, among the professionals I hope not, of what resolution is 4K. It's all because manufacturers of both capture and display devices are calling all 4K.
Real 4K -> DCI 4K -> 4,096 x 2,160 pixels -> 1.9:1 ratio -> Cinema, YT with black strips
Fake 4K -> UHD -> 3.840 x 2.160 pixels -> 1.78:1 ratio -> Used in television, YT without black bands
I usually record everything in UHD because most of the time they are for video streaming services, Youtube or Vimeo. It takes up less space and does not have to be resized.
How do you guys do it?
Actually cinema films aspect ratios are called Anamorphic and the actual aspect ratio is 2.35:1
A lot of people put black bars on their video to try and obtain a cinematic look but for sure 4096 x 2160 is not Anamorphic or a cinema Aspect Ratio
Today the 16 x 9 is a standard aspect ratio across many formats as you point out; TV, Youtube, Vimeo and most monitors TV's of all sizes and computer screens.
Before HD, the resolution moved from a decades long standard of 480 vertical lines to 540 sometime in the late 90's and early 2000 (depending on what source you may want to find). Here in the states for most video was interlaced with 540 lower lines of resolution and 540 upper lines of resolution. While most cameras today shoot in progressive frame format, there are still cameras being used that produce interlaced footage in TV broadcasting.
High Definition was the term coined for the footage that was double the height so 540 x 2 became 1080 and when you add in the 16 x 9 format the width is 1920. This became the industry standard that camera and TV makers followed as did Youtube, Vimeo and others.
The term 4K was coined (as before) by basing the size off of doubling the height so; 1920 x 1080 doubled as before would yield an image twice as high and twice as wide - 3840 x 2160. Its 4 (Four) times the size of the standard
4K cinema/anamorphic footage will have a resolution 5076 x 2160
The cameras on most of our aircraft use a sensor whose maximum output is in a 4 x 3 standard. The video is cropped from the full image to meet the standard format of 16 x 9, and while there is the ability to add in the extra 256 pixels to the width (4096 in your case) its not a standard but more likely; that is the maximum image size that can be written for a given speed by your particular camera.
Our camera's image size when - talking video - is limited by how fast they can write data to the storage. This is why when you have a camera that can shoot full for 4K at just 30 FPS, but can write 1080 at four times the rate - because it is using four times less sensor area (data)
I shoot based upon the needs of the final output which; in nearly all of my cases are video at 16 x 9 and pictures using the full sensor to get a 4 x 3