If you need the best still-image quality, you should take still images in DNG format. In all video modes, images are compressed tremendously, even more than standard JPG still-image compression.
At any rate, the answer to your question is, "it depends". It depends on the other two exposure values (aperture and ISO). It depends on the amount of light available. And it depends on how much movement there is between the drone and your subject.
I suspect that your subject is not moving at all, and that the drone is moving slowly. In that case, I would guess that 1/160th of a second will get you as much sharpness as can be had, and that anything faster (1/200th, 1/250th, 1/320th, 1/500th, etc.) will not provide any additional sharpness.
And that is where the other exposure controls kick in. If you insist that 1/1000th is necessary because you want to freeze it as much as possible, then you will have to compensate for that by adjusting aperture and/or ISO. And since you can only open up your aperture so much, that generally means increasing your ISO sensitivity. And doing that will
definitely make your image less sharp.
So here is what I would do:
- Operate in manual mode
- Start at ISO 100, f/5.6, and 1/160th.
- If the resulting image is too dark, then you should first open up the aperture (f/5.0, f/4.5, f/4.0, etc.). If that solves your problem before you hit f/2.8, then I think you are done.
- If that does not solve the problem, then you need to try increasing the ISO. But once you hit ISO 400 on this camera, you will start to become dissatisfied with the noise introduced into the image.
- If you have a "too bright" problem instead of a "too dark" problem, then you can solve it by shortening your shutter speed (1/200th, 1/250th, 1/320th, 1/400th, 1/500th, etc.) until the problem is solved.
The mistakes you can make here:
- Keeping the shutter open too long, which will produce blurry images
- Setting the ISO too high, which will produce noisy images
- Setting the aperture too high (f/11, f/14, f/18), which will require you to do 1) and 2) on this list.