I'd like to believe that to be true, but the unfortunate reality is that working dogs like Border Collies are some of the most abandoned or resold dogs, because people don't do research on what kind of dogs fit with what kind of lifestyle, and just get one that they think is cute or the size/color they want or something like that. I've known several people who lived in apartments and bought working dogs that then proceeded to wreck their houses because they lacked the time and energy to properly train and exercise/work them.
I could see like, a family member buying it for them maybe as a motivator to leave the house or something though, which wouldn't be quite as depressing of a storyline, and would be more comedy, since this manga is pretty wholesome and fun overall that would probably fit better.