Agree, very important.
When searching (such as via CTRL-G), jump to the first search result in the note, not just to the note.
Also - there is a problem with finding inside a note - after searching it focuses the viewer so that the highlighted word is the leftmost you see. Which in 99% of cases means you got to scroll to the start of the line.
Instead: it should focus such as the searched word is almost at the end of the view, so that as much of the text is in view as possible.