But they are never in a different time frame as this documentary alludes. I have asked others who also thought this was implied or to easy to interpret in that manner. It could well be as you say simply a poor example, but one should expect better.
The different time frames are simply caused by the time light takes to travel the distances between and nothing to do with the speed one is traveling. The distant person may see the images from 10,000 years ago, but that is not actually what is happening, nor is it the actual NOW, or any actual view of reality as it is in their now.
They are simply seeing 100,000 year old light images. This is not clear and should be, as it is a core concept.
The apparent speed of life of the other party is possibly a different matter.