I recently started using your video search capabilities and was surprised to see that it was much better than searching on YouTube itself.
I have a suggestion though: An option to open embedded videos in the video search seems like a nice quality-of-life update.
Clicking a video would expand a row below the thumbnail and description. The row would contain the embedded video.
From there, it's easy to visit the original page of the video.
Alternatively (and less aggressively reformated) would be to keep the current behaviour (go to video URL) but add a button for expanding embedded video below thumbnail as described above.