I think it could be useful to display the level next to the character in vocab as well as in search results. It could look something like this:
Emphatically seconding this. Every time I find a new word in a manga I’m reading and curiously typing it into WK to see when I’ll be learning it, I have to open the page. It’s arguably only one click, but the meaning is also shown to the right, so we’re saving time there already, too, haha.