It's possible your adopters are experiencing cognitive overload at the time of adoption. If you consider how much is happening in just a few hours, including deciding to adopt a pet, visiting the shelter, the hard choice of picking one pet over another, trying to guess what a cat they meet in a cage would be like in their home, speed-dating to pick a lifetime companion, application and adoption counseling forms and conversations, a barrage of new instructions and reading material at a time of maximum excitement and distraction, it's little wonder that a lot of adopters misstep when they get home. I can't tell you how many times I've seen a newly adopted pet for their first veterinary visit and all of the handouts they were given are still untouched in the go-home bag. It's likely that adopters can only remember a few instructions at that time, maybe even just one to three, and that more than that are not internalized.
You ask if other shelters commonly have returns due to poor introductions to new pets, and speaking for the shelters in our region, I would say no. Returns of cats for any reason are low, and when they do occur it's extremely uncommon to be due to an injury. If the scenario you are describing happens often, I'd consider trying a lighter and more focused and individualized adoption experience. Pick the most critical instruction and feature that. If the adoption counselors are speaking more than listening, flip the script and let the adopters do most of the talking in a guided conversation.
For example, the counselor could start with an acknowledgement that going-home day is exciting for adopters but can be scary for cats. Therefore, it's important to plan for a very quiet and safe transition from the small cage and stable daily routine to the large space and bustle of family life. Starting out with a smaller "safe place" before opening up to the whole house, other pets, and visitors will help the cat adapt to this whole new lifestyle without becoming overwhelmed and shutting down. Then the counselor can ask the adopter to describe their ideas about how they can achieve this soft landing for their new pet. Together, they can consider the options that come up and the counselor can coach them toward good choices. This allows the adopter to envision the step-by-step process of getting home and to brainstorm ideas with the counselor to come up with a plan for success. This iterative process engages the way adult learners process information, allows adopters to envision the steps to come in their own home, and to resist impulsive temptations like stopping by to meet the parent's dog. Since they've already mentally rehearsed the process and received positive affirmation for it, they are more likely to follow through. Adult learners (maybe all learners) are pretty bad at absorbing information received as lectures, and really bad at picking out the most important headlines when many points are delivered.
Of course, there is a lot more that adopters need to know about the care of their new pet, but this can be trickled to them in a way that doesn't overwhelm. The adoption visit can be limited to the essentials of a good match for the cat and the adopter's personality and lifestyle, essential medical information, and the coming home process. I recommend that shelters join Petszel, a free app that trickles information to adopters at the right cadence, sends post-adoption surveys to adopters at Day 1, Week 1, and Month 1 (and beyond), and provides expert-designed education to adopters reporting issues with their new pet. Since this all happens automatically, the shelters receive a huge amount of information from adopters in real-time and can head off problems before they are back at the shelter returning their pet. Several large shelters using Petszel report 20% fewer returns. Check out our peer-reviewed paper on Petszel data: Shelter to Home: Surveys of Early Post-Adoption Experiences with More Than 22,000 Dog and Cat Adopters
And finally, it's worth sitting in on some adoption counseling sessions to see how they are going. With high staff turnover and individual personalities and knowledge bases, it's possible that some counselors are having more success than others.
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Julie Levy, DVM
Shelter Medicine Program at the University of Florida
Maddie's Million Pet Challenge
https://sheltermedicine.vetmed.ufl.edu------------------------------