If the broadcaster uses the command it won't work since broadcaster doesn't count as a mod (http://prntscr.com/ehxguj). I'd recommend you to do something like this so broadcaster can use the commands as well:
Code:
if ($msgtags(mod).key == 1 || $msgtags(room-id).key == <Channel ID>) { ... }

or make the use of the "broadcaster/1" tag in badges.

If you don't have the channel ID you can get it with this: https://beta.decapi.me/twitch/id/{USER}