I was assuming a more complex configuration than the wide-open one
advocated by Barb, which seems to add little to no security benefit.
I'm sorry I wasn't clear on this point; of course pushing out a single
file to n machines shouldn't be a problem.
Of course. And a complex sudoers setup can be in a single sudoers file
distributed to thousands of hosts. The sudoers syntax allows for as much
or as little complexity as suits your needs.