Tim, testing on my Mac (or PC) when I open a video (with a file chooser) and then immediately do a Save Tab As... the save location is the same as the video, not the previous save location. Isn't this what you want? Do you see a different behavior on your Mac?
If you open several videos from different locations, then save the tabs, the default save location will be that of the last opened video when saving the first tab and the same as the previously saved tab for the rest. Is this what you are doing? If so, are you asking that each tab be saved by default in the same directory as its video no matter when they were opened?
Well look at that. I have never opened video files using the file chooser. I have always dragged and dropped the video files into an empty window. I find it is faster for me to use the Finder window to find my video files.
Minor tweak to my feature suggestion. When using drag-and-drop of a video file, use the folder location of the dragged video for the starting save location.