Okay... I guess I must not be "getting" the intended workflow of using 1Password in this respect.
When I first started using the password generator in my browser, I'd use the "Fill" button, and it would fill in the password field on the web form, I'd click submit and then, my password would be changed, but I wouldn't know what the heck it was. 1Password didn't add it to my "logins" like it automatically does when I actually login.
So, what I ended up having to do is use the password generator, copy the password to the clipboard, and paste that password into the fields of the change-password page myself, and then go to the site's login page, and paste that password into the login page and then 1Password would ask if it should save that as a login item.
And now, on 1Password for iOS, I notice that there's a "Generated Passwords" section, but I couldn't make sense of it, because there were only 10 passwords in it, and I've used Password Generator to generate over a hundred passwords. So, something isn't making sense, here.
Now, since then, I've discovered that Generated Passwords is also in my PC version (it was turned off, somehow... probably when I was first exploring the program), and I've also discovered that I can access a password history with the button at the bottom of the Password Generator.
But that still doesn't explain why there are only 10 passwords in my "Generated Passwords" section. My first hunch is that this section only includes passwords which were pasted by clicking the "Fill" button, is that correct?
Second question is: How is the "Password History" button (in the browser plugin) different from "Generated Passwords"? Does it include passwords generated while at a site but not "Fill"ed? What if I delete an item from Generated Passwords; does it remain in the Password History? I've noticed that Password History only seems to show those associated with the site I'm currently visiting. Is there a way to see the entire history?