How to stop jucheck from running? Java won't remember "Check for Updates Automatically" setting

Problem

I've installed Java on Windows Vista, and every day I get a Vista security warning asking me if I want to run "jucheck". Apparently this is the Java automatic updater. Well, I don't want it to run on its own, ever. I cancel it, and quit it. I right-click on the taskbar and unclick "Check for Updates Automatically", and then click "Never Check", and "Apply". And yet, it never remembers this setting. If I come back to the "Java Control Panel" right after clicking "OK", the very same box is checked again, all on its own. Is there some way to kill jucheck once and for all? If I simply delete jucheck.exe, will Java (other than the automatic check) still work, and will manual updates still work, and will it stop even trying to update every morning?