"staking" an ERC-20 token is effectively yield farming, right?

So coins that allow you to "stake" that are erc-20 coins do not mean staking in the sense that you are paid to secure the network, right? In other words, they are not "proof-of-stake" coins, right? Isn't staking an erc-20 essentially just yield farming because your "staked" coins are providing liquidity for trading pairs?

I feel like no one talks about this distinction but I see a lot of ERC-20 coins saying you can "stake" coins for rewards and quite frankly I am confused.