sounds like a nightmare for someone who forgot their password and has multiple emails, and isn't sure which one is right. did i use the wrong email, did it land in the spam folder, or did my email provider just quietly delete the email (which unfortunately does happen, and not just with dodgy emails/IPs)
I have multiple emails, and this never turned out to be an issue - worst case i just try all of them.
But if you want to improve the implementation, the provide can also decide to send an email in case no account is registered with that email address - "Hey, someone tried a password reset for this email, but there's no associated account. If it was you, ..., if not, ignore this email."
