For example, it is coupled with a "find incremental previous" function -- but there is no "find incremental next". Instead, you would use the "Go to next occurrence" -- so the "Go to previous occurrence" and "find incremental previous" are entirely redundant, right?
Find Incremental Next is
Find Incremental. After your notice I have renamed it to Find Incremental Next.
Go to next/previous occurrence search for word under cursor, using last search flags.
Further more, I cannot think of a situation in which I would use the incremental search, then hit f3 for "next" intending to use my FIND search rather than incremental.
For incremental search you do not need a dialog, or bar (Quick Search Bar). It is done inplace as you are typing. In addition it highlights all occurences (but navigates to next/previous) plus indicates whole word match or not.
You could simplify the menu greatly by adding some logic to the "Find next" and "Find Previous" functions.
Find next == F3, uses last search parameters (together with searched word) used in Search dialog. With Find Incremental, it is really complex to get which was a
real search text, because you can cancel search without typing complete search word...
BTW: Incremetal search also does analysis of how you type search text. If you type in lower case it would be not case sensitive, if you type in upper case or in mixed case, it owuld be case sensitive search.
In case of Incremental Search pressing Ctrl+I once more would navigate you to next occurence, Ctrl+Shit+I to previous.
So we have:
Find Next/Previous - using last search parameters of Cltr+F
Go To Next/Previous - uses current word or selection without dialog
Incremental - seraches as you type, with some specialities.
I think these are three different scenarious, that give you freedom to select most suitable for you

And in addition you have Search Dialog and Quick Search Bar
