[Q] ICS rooted - OTA/KIES JB update

Hi

The wife's Note is presently on stock rooted ICS running a custom kernel (can't remember which one of the top of my head). I want to update it to JB, but want to go down the path of least resistance (i.e. avoiding having to reinstall all the apps, etc).

I guess the first question is, can I update via OTA or KIES?

I presume if I update via OTA or KIES (I have an updated rom notification on OTA) I will loose root (even if I use OTA Rootkeeper?) and the custom kernel (reverting back to stock kernel).

FYI - not really fussed about re-rooting as wife doesn't really need to seem to need a rooted phone.

Thanks in advance!