While it doesn't harm you in any way (except maybe for the case where you don't find / forget your salt and cant recover your wallet), it doesn't increase the security of your wallet.
It can add plausible deniability, but security-wise it is not necessary.
As bob123 has pointed out, the maths of the seed words is currently more than sufficient to prevent the seed mnemonic from being brute forced in the first place. So, "salting" is not really necessary from that perspective... But in my opinion, it does offer an increase in security... for one particular scenario.
By adding such a "salt", it means that even if your seed mnemonic is compromised (for instance, your home is burgled and the thief takes the physical backup of your seed mnemonic) your wallet is still "secure", as without the necessary seed mnemonic extension they will be unable to access your 'actual' wallet. It's like 2FA for your seed mnemonic
Of course, it should go without saying, that the security will only be as good as the passphrase that you use