@Richard2048 You don't need to decline inappropriate inquiries. All you have to do is respond to them within 24 hours, you don't need to either pre-approve or decline.
It's only booking requests that you have to either accept or decline within 24 hours.
And the CS rep gave you incorrect info, which is nothing new from Airbnb's customer disservice dept. Acceptance rate isn't a factor in Superhost status, Response rate is.
I know they will send you warnings if you decline too much, though, or even threaten to suspend your listing, so stop declining those inquiries. Just let the inquirer know why you can't accept their booking.
Sounds like you get a lot of these, so you might want to create a saved message you can send, like "Thank you for your inquiry. As is stated on our listing, we do not accept pets or children, and as we have good reasons for that, we don't make exceptions to our rules. All the best in finding a place suitable to your needs."