If you delete cookies regularly, I assume you are entering your password regularly? Do you use 2FA on these sites? I assume you have to go through the motions each time. What makes clicking on these links more annoying? Some 2FA (or confirm your identity) is done through email still.

I'd expect most 2fa to be through an authenticator app (google authenticator for example), SMS, or a physical device like yubikey.

I don't think I've seen anyone use e-mail for 2fa. All the devices I listed above are in real-time through TOTP timings. E-mail is NOT in real-time.