What Makes a Generated Password Strong
Strength is entropy: a random 16-character password over the full printable character set carries roughly 105 bits, which no offline attack touches. The generator uses the browser's CSPRNG (crypto.getRandomValues), so output is unpredictable and never leaves your machine. What those bit counts actually mean against real cracking hardware is worked through in password security and entropy.
Generated randomness belongs in a password manager. For the handful of secrets you must hold in your head - the manager's master password, disk encryption - a diceware passphrase reaches comparable strength in a form memory can keep; the trade-offs are compared directly in password generator vs passphrase.