There's a good reason for what you're identifying as misuse.
If you show a captcha after a failed password, you need to show a one after a correct password as well. Otherwise you leak information. You can have other solutions, e.g. in a login flow that splits the username and password entry, it's advantageous to put the captcha between those two steps. But even in those solutions the display of the captcha must be independent of password correctness.
If you show a captcha after a failed password, you need to show a one after a correct password as well. Otherwise you leak information. You can have other solutions, e.g. in a login flow that splits the username and password entry, it's advantageous to put the captcha between those two steps. But even in those solutions the display of the captcha must be independent of password correctness.