I absolutely wouldn't want this for strays but yes to dog walking and maybe an intrepid little cat on a hunting exploration. I actually think we should be able to toggle strays off altogether in Game Options. I bought Cats and Dogs while grieving a sudden pet bereavement and my first visit to Brindleton Bay involved seeing not only strays but sick strays which I found really horrible tbh. But I'd like to see Sims walking their pets around other worlds more. For some reason I do see them outside Planet Honey Pop in San Myshuno waiting for their owners but I don't see them around other worlds except for strays in the jungle (with Jungle Adventure) and Moonwood Mill (with Werewolves) which is even worse. I also see cats in Glimmerbrook occasionally but not often.
But the biggest thing I'd really like to see is the ability to adopt a pet from wherever they are. Too often my Sims meet a stray and the interactions are really laggy if the pet is going to do something like be vocal or take a nap, or they run off. My Sims end up with the start of a relationship with the pet and I have to keep looking for them. You'd think we'd just be able to meet up with them again by travelling to a spot together, but in fact that doesn't work. The Sim can indeed meet up with the pet through travel but then the Adopt option doesn't pop up. It's very frustrating indeed. I had one Sim who would just meet up with a dog named Bentley to feed him and take him for a walk but couldn't adopt him until he finally randomly appeared again in a Brindleton Bay spot. She had to ignore so many other strays just waiting for this little dog to appear again to get the Adopt option. She couldn't even get the option to adopt him on her home lot🐕.