I'll usually adjust a vignette to match better the colors/effect for the image type I may be considering (complementary color cast to the vignette for instance). It's mostly a manual process that changes from image to image (if I use one at all).
In the video you linked, you can see from a diff of the before/after that he clicks through that it looks like a standard-ish type of darkening vignette around the edges of the image. Notice, though, that the image has a strong center focus point that your eye immediately wants to go to, which is enhanced through the use of a vignette to sort of "guide" you to that point.
Your image lacks a central focal point as strong, so my eyes want to wander the frame a little more (not that anything wrong with the image, it's quite lovely). Perhaps this has something to do with your perception of it? I think the one you've done is subtle and not distracting.