Excerpt from the “Boot-Hole” documentation:
In order to exploit this vulnerability, an attacker would already need to have root access to the system (or the ability to boot from external media, which would require physical access - at which point all bets are off anyway).
You only need to re-install grub if you are concerned about this vulnerability. If you just update normally and skip re-installing grub, your system should continue to function like normal.