Tags are just that, tags. There is no tag-based responsibility, or tag-based permissions. Everyone is responsible for moderation of this site, using tools he earned access to: flags, close and reopen votes, and so on.
The only use of tags is to make questions easier to find, or easier to ignore. For example, my settings are:
This does not change the fact that I am supposed to vote to close if I see off topic question, no matter if it's form-api or accordion. And no matter if I was creator of any of these tags or not.
Being tag's creator changes nothing.