Sometimes people are just so curious as to "What's the point of making a pet site?", and really the point is - to chase your dreams, and building a community for your pet site. Don't ever give up on your project though - let someone else come on in and help you, because you are the backbone behind your pet game, and that's a fact.
But, I'll post 5 reasons as to why people should make a pet game:
1: Seeing others play on your game - instead of just you, and staff.
2: You can make money - loads of it, if you know what're you doing. Like having a cash shop or ads.
3: Watching your user's count and players online increase, its very exciting
4) Gives you something to do.
5) The community - after a while, your community will form. It'll take time, but it will happen.
So, those are my 5 reasons as to why someone should make a pet game - so why don't you share yours?