I got out of LE a few years ago and went back to school. I have a few ideas that might, or might not, explain why you had to go through the formality of such a lame test.
One, the mere act of having to show up probably scratched a few applicants but I doubt you were worried about them anyway.
The mere act of having a physically agility test may be either paying lip service to the politicians (like the county commissioners, who prolly have no idea what a reasonable man, or t-man should be able to do, and they weren't actually present to witness the spectacle of lameness you described) or possibly a health insurance provider, again not actually present to see the charade.
Another possibility is that they are having such a hard time finding qualified applicants that can pass a reasonable agility test, haven't smoked too much weed, or haven't been fired for stealing from an employer, so they water down the hiring procedures. Sad statement on our society but it's true. I went to the mall the other day and was shocked by the # of disgustingly fat people were there, and I'm far from having the best physique here.
Another factor, if the county you are in is small enough, is that the powers that be already know who they want to hire, and they don't want their beer bellied brother in law, neighbor, nephew, etc losing out to a T-man like yourself, so everyone gets to pass.
Another thing, I hope it hasn't come to this, but it could be that they are afraid of a lawsuit if some out of shape slacker keels over. True story, a buddy of mine, love him like a brother, but not LE material at all, tested for one of the local suburbs (a town w/ no shortage of gang-bangers, crack heads, and so on).
The test was fairly strenuous, but IMHO to work in a city like that, in addition to that test, you should be prior LE, ex-military, or atleast have some decent martial arts training, anyway, they had to call the ambulance for him in the middle of the test, someday some liberal judge might entertain a suit like that.
Anyway, sorry to get so long winded. everything I said is just one man's experiences. I wish you luck in your endeavor to be in law enforcement. PM me if I can help.