I've had both cheap and expensive Venetian blinds.
Cheap plastic ones mysteriously developed tiny holes in the ends of a few slats. Must have been a factory defect
Also when a slat was bent, the slat had a 'memory' and could never be straightened out and looked terrible. I also think cat or not these type of blinds won't last long anyways.
Then I bought several ones made by Hunter Douglass through a guy I met with a home furnishing business. They cost 3-4x more than the cheapos and are metal. I almost passed on these due to the cost. The HD's have been messed with over the past by my cats many times but not one slat has ever been damaged. I just had to replace one of these blinds recently as a string broke near the top that holds the salts itself. Called the guy who I bought them who first offered assistance to help repair them, but the string broke in a place that made them unrepairable. Amazingly he had records of the initial purchase which was over 10 years ago and sold me a second set for cost!
Sometimes I hear the blinds clunking in the window, but I think it's just a message telling me my furbags want to look out the window. And we all know cats like to look out the window, so I just simply accommodate their wishes and raise the blinds like a good servant.
Tips: I found that coiling up the drawstring and using a rubber band near the top eliminated cats batting at it. I also shortened the control rods too so as not to be another play toy.