In the olden days there are a lot of coins that you can stake without sending them to other wallets one example of this which I stake and made good profit was Chesscoin, but since the creation of the smart token, developrs stopped creating stake based coin and instead opted to smart contract based token.
I guess people like us remember staking as Proof of Stake wallet. For stakers now, they are talking about all these Defi projects that talk about staking your tokens with them, either in their pools or in some other centralized wallet. Very different from Proof of Stake coins,,, unfortunately we are oldies;)