I have found my own fix (ironically, by searching for how to disable chrome updates):

HKEY_LOCAL_MACHINE\SOFTWARE\Policies\Google\Update "Update{8A69D345-D564-463C-AFF1-A69D9E530F96}"

This value can have 4 different DWORD settings assigned to it that describe how Chrome will be updated. These different DWORD values are:

0 - This setting corresponds to the Updates disabled policy setting. This means updates are completely disabled for Chrome.

1 - This setting corresponds to the Always allow updates policy setting. This means that updates are always installed regardless of whether they were found via periodic silent updates or a manual update check.

2 - This setting corresponds to the Manual updates only policy setting. This means updates are only applied when a user performs a manual check.

3 - This setting corresponds to the Automatic silent updates only policy setting. This means updates are only installed when they are found via the periodic silent update check.

Changed that value to 1 (it was 0)