Good points, and something I meant to address earlier.
The video on the card is exactly what the camera captured. Playing it back directly from the card will deliver exactly what was captured. Best practice is to play it back from the card on a laptop or computer, or down load the card to a laptop or desktop. Not a phone. You must use a good tablet, one with very good video play back if you go that route.
If you are “sending” video from one device to view it on another using apps you introduce another layer of potential problems with WiFi or other data transmission/reception speeds. I would certainly get away from the use of mobile apps when trying to determine video quality.
You mentioned “render”, a term I use when processing video. If you are experiencing playback issues after “rendering” I’ll suggest the program or computer being used in the process as being a possible cause.
Something some may bot be aware of and worth mentioning; as the camera’s quality and ability increases so does the need to upgrade any equipment used to view what comes from the camera. We cannot expect to see 12, 16, 20, and 50mpxl resolution on view screens with lower resolution. Now should we expect to obtain good 1080 or 4k video quality on playback equipment created around 720P and lower video quality. We have to upgrade our computer’s processing speed, memory, graphics card memory and speed, along with monitor resolution. Same applies with image processing programs. Each improvement in camera capability can make what we had been using for processing and viewing become obsolete and incapable for effectively dealing with better and better cameras. The same applies to our internet bandwidth. If what we have is slow there will be an impact on video transmission and playback quality while on line.
In your case I would try one thing at a time, starting with review of the play back equipment. Eliminate the mobile app from the equation by playing the card on a lap or desk top after establishing either are up to the task of viewing UHD video effectively. Establish if your pan issues only occur during rapid panning. Those end up looking bad in video anyway so determine if slower panning does well where fast does not. Then try a faster card. Also try playing video shot by others that is posted online through your play back equipment to determine if what they shot presents issues on your stuff.