If it were me - with the Vet - I would ask them to greet her as you want it done. I feel it could undermine your training - as they say "everyone needs to be on the same page".
Coffey is not at service dog level yet (@ 14 months) and is currently in a behavior class specifically to help redirect his over excitement at times.
It is positive type training and Coffey is slowly learning to break his focus and return it to Kelli. They work with Toys as well as treats and "happy" voice (NOT baby talk). This is with a different group trainer than our normal group trainer.
Kelli has a post called manners class but hasn't posted much in it yet.
Tayamni has graduated CGC & certified as a Therapy dog by 14 months. What a difference! Coffey is not ready for CGC yet and wlll still have to go trough service task training.
Don't worry Felix, take a breath and keep consistent in your "tough love" and try different things with the leash barking, maybe carry a toy (tug toys are great) or REALLY high value treats to redirect from the leash barking when Chepi sees something that gets her overexcited?
One thing I learned from my Dogs and Boone: These puppies aren't like Lab Retriever pups that start their service dog training as they are learning basic commands. Mine have to go through puppy training & get to CGC level then Therapy dog or Service Dog train. Some AI pups my settle down quicker and if I was a professional trainer maybe it would be different for me. I'm sure Chepi will settle in. Just keep on being repetitive and consistent and you will eventually have success!
Last June when we went to visit Boone, I almost didn't recognize him he was soooooo calm. Was it him getting an AI pup playmate (Houston) or did he just calm down after he was over a yr - 1.5 old? Maybe a combo of both as Houston turned out to be a laid back pup.
Getting a second AI Pup could help out with the cats, OR it could backfire and both pups chase the cats.
Wish we lived closer together, playdates would be fun!