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Houston is the same way. Unless it's a major accident (injuries, etc), they won't even show up.
However, there's a simple way to guarantee they show up and write a report.

I would only do this in very few situations

If the other person vohemiently denies fault. and you know they will continue to do so.
And if you are 10,000% sure it is the other person's fault, by law, and will be OBVIOUS to any officer that shows, or you have witnesses there at the scene willing to confirm so. (People riding with you don't count)
And if you know that you will be out Thousands of dollars, either due to Liability only, or the other driver NOT having insurance.

Also, if the accident, because of it's damage, will PREVENT you from getting to work, or living your daily life, until you find the money to get it fixed. Why should your life be uplifted by someone else's mistake.

911: "...are there any injuries?"
You: "My Neck Hurts"

Be prepared to take a ride in an ambulance, and spend some time in the hospital though.

Is it right? No. But neither is the current system.
It's simply playing by their rules.

I was in an accident 6mos ago where a lady decided to cross 3 lanes, directly into the side of my vehicle. She knocked me up onto the curb, and almost into a fire plug.
I whacked my head on the window, but it wasn't anything serious. She got out of her car immediately, and came over, practically crying,
"omg, are you hurt? I'm so sorry, it was all my fault.. do you need an ambulance?"
"no thanks, I'll be okay. Let's just trade information"
"Oh alright. It was totally my fault.. I'm so sorry, let me get you my insurance information"

Needless to say, I pretty much knew she was going to tell her insurance that it was all her fault, so I didn't need an officer there. That, plus the damage to the cars (her front right corner, my drivers side door and panel) sort of told the story. I could have easily told 911 that i was injured (hell, I was, even if just barely.. even my wife yelled at me for not doing it "You could have gotten a concussion and not known it!!") and had an officer there to take it all down.