This search page will show you the page a specific private key is on.
That means if you're curious which page your wallet is on, you can look it up. But typing in your own private key on a random website isn't a very good ide
You can only search for wallets that you know the private key of, so you won't have any luck recovering a lost wallet. It is impossible to search by public key.
Instead of searching, you could also try a random page