I can not use wallets that provide email, I will prefer only seed phrase. If the seed phrase is backup and safe from attackers and damages, it is the best way to go.
Note that Bitcoin Core does not provide seed phrases... the backup methodology for Bitcoin Core is to simply make (multiple) secure backups of your wallet.dat.
Deterministic wallets are wallets that can use just one private key to generate as many as possible addresses. Unlike nondeterminstic wallet in which one private key generate only one address.
Just to make a small clarification... a deterministic wallet, uses a "master private key" derived from a seed, and then multiple child private keys are derived from that master (and then the addresses the for child keys are derived from that)... so the wallet still contains multiple private keys just like a non-deterministic wallet.
The difference, is that you can regenerate ALL the derived private keys in a deterministic manner by starting from the seed... with a non-deterministic wallet, the private keys are just randomly generated.