Hello,
my apologies, I was testing on a site that also has Buddypress installed. I just checked and that is a feature of Buddypress, to look into the list of users and click the ‘Email’ link on a pending user to resend an activation email. That is in the first screenshot attached.
If I understand you correctly, in the case where a user can’t find their activation email, you want that they should be able to resend that activation email to themselves to complete the activation. In that case, having the option/link available within the login or forget password process makes sense.
I just did a test on that, and if I register, but skip activation, then go to the forget password dialogue, I am informed that my account is not yet activated, but the email is not resent. The error is attached.
I will flag this for the team again to see if they have any thoughts about how to address the situation of users who have not been activated, yet, and how their activation email might be resent.