A wallet is basically a device/SW that keeps an overview of your unspend transactions UTXO's and the private keys to be able to proof you are the owner of those UTXO's.
The while set of those UTXO's and PK's is derived from your unique set of characters.
That set of characters can be your set of seed words or a set of seed words extended with a passphrase.
The are all seeds, 12 or 24 words out of a predetermined list, with or without an extension of 1 to 128 characters...
For the deterministic wallet, we all use those, it doesn't make a difference:
A deterministic wallet is a system of deriving keys from a single starting point known as a seed. The seed allows a user to easily back up and restore a wallet without needing any other information and can in some cases allow the creation of public addresses without the knowledge of the private key. Seeds are typically serialized into human-readable words in a seed phrase. The BIP 0032 standard for hierarchical deterministic wallets is used by all good wallets as of 2019.