My sister in law is a safety officer for the city of Norwalk. She called HQ and asked if she was eligible for the discount. They said any law enforcement official, regardless of the branch is eligible.
So she went, with her officer ID and her badge. It was a Monday, she didn't ask and they didn't tell her it was only Tuesdays and Fridays.
Anyway, they told her there she wouldn't qualify either way. Only sworn, active police officers qualify.
She just gave up and didn't go back. I am still curious if she would qualify though.
I don't work for them but I will bet what they mean by Law enforcement is "persons who are sworn with a badge and a firearm and who have arrest powers. It follows the same for their SI site.