Is it possible to detect, if some addresses were generated from the same seed phrase?

Title is question. In most wallets, we can use a specific form of derivation paths enabling us to have multiple wallet addresses generated from the same seed phrase. However to increase my anonymity, I'd like to know, whether the public addresses are somehow correlated with each other.

Given two addresses, is it possible to know, whether they were generated from the same seed phrase? Or are they indistinguishable like any two addresses?

And my follow up question: If the private key of one of these addresses is compromised, can I still safely use the other addresses generated from the same seed? Or is it the case, that knowing the public+private key for a single address makes all the other addresses and the seed phrase more easily guessable?