It certainly is, and any reasonable person would agree.

If you send me an email, am I allowed to keep your email address in my mail logs, archives, and inbox? Hell yeah I am, you gave me implied consent to do that by sending me email.

Am I allowed to spam the email address you gave me? Of course not. But I can keep it.

Placing an automatic and extreme burden on the recipient of a communication like a website visit or email, which is exactly what the GPDR does, is just plain bananas.