You will also still get updates (and execute) the Malicious Software Removal Tool (MRT. So, in all these instances, you can expect to get patches.
If you stopped applying patches at some point and those are OS updates to XP itself, it will keep nagging you to put those in.
Changing the product key that you used to install Windows with might be necessary if you find out that your current product key is...
well, illegal, and you've purchased a new copy of Windows to solve the problem.
I've had about 4 attempts since May, the last one in October.