It is called image stabilization, The pilot selects an object and as the jet maneuvers to follow the object it keeps the object centered within limits. Takes jitter out of the picture.
I don't doubt that tracking can do that. It's just too perfect in that video. But I can accept perfect tracking. Camera tracking, be it mechanical or software can center it, OK. But this is not all what is happening here. Object is keeping perfectly same distance and orientation with respect to camera. And we know that jet is changing its direction because background moves. So it's not simple straight flight for UFO&Jet.
To me the video is suspect.
Back in the 8-s I was flying a small plane near Mt Monadnock in New Hampshire. I saw what looked like a bright object coming at me at high speed. I made a diving turn and it was gone. i circled back around and found it the sun reflecting off a ground object. I worked on video and optical systems, I can think of a number of anomlies.
We will never see the original reports. The problem is what is being said on these events is that there are corroborating visual and RADAR detection. The skeptic engineer I am in a situation like this unless I see all the data I won't make much of it. My skepticism comes from being burned trusting claims of data without seeing it.
When govt is involved as we have seen recently the first question is why now?
Could be political, or even budget issues. A group wants continued funding.