>>>> I think the key `C-x w' by its mnemonics would be more suitable for
>>>> a command that writes to the file like `C-x C-w'.
>>>>
>>>> As the comment in hi-lock.el suggests to bind it rather to `C-z h',
>>> I just want the key binding to be the same as I use outside of isearch.
>>>
>>> There were no global binding for `occur' so in that case I thought
>>> `M-s o' was good, but in this case I would really prefer the same
>>> binding inside isearch.
>>
>> `C-x w h' is not available until hi-lock.el is loaded, but `M-s h'
>> is the pretty harmless and convenient key binding to keep the
>> isearch highlighting permanent in the entire buffer.
>
> Yes, but I suggested adding `C-x w h' to global-map too. Is there any
> reason not to do that? (It is useful, not dangerous and the binding seems
> to be reserved.)

I think it is better to reserve the global `C-x w' for more
mnemonic commands (e.g. "write" or "window"), and rebind hi-lock
keys to the search specific prefix key.