Thank you, it works now!
It took me a second, but I have actually found a bug. Long story short, there is a shortcut coded to the search if it finds appropriate title based matches up to the results limit (in case of the live search it was 10), then it stops and returns. This works flawlessly, however it should only trigger when the primary results ordering is the default “Relevance”. In your case however it wasn’t that, so it produced these incomplete results on the live search and the correct ones the results page.
I have patched it directly, and will open an issue on the bug tracker so it’s going to be permanently fixed in the upcoming release, so you don’t have to worry about it. The results should be identical now on both ends.