If you do not need a statistically significant mental health benefit to prove that your sofa-chewing, 3am-zoomie cat is worth it, then you already understand.
The point of having a pet was never about curing anything.
It is about the dog that lies on your keyboard when you work too late. It is about the cat that sits next to you when you cry. It is about the creature that wakes you up every morning, reminds you to feed it, and tells you in its own way that you are home.
These are not mental health interventions. They are just life.
Your pet has never read a psychology textbook. It does not know what cognitive behavioural therapy means. All it knows is that you are back and it is happy.
Sometimes, that is enough.
If you are hesitating about getting a dog or cat, do it. But do not expect it to solve all your problems. Welcome it as a life, not as a prescription.
If you already have a pet but still feel lonely, give yourself permission to feel that way. Your pet's companionship matters, but that does not mean you should be fine. If you need help, go get it.
If you feel like your pet saved you, then it did. You do not need data to prove that.
You love them. They love you. For many people, that alone is a reason to keep going.