I feel like it might still help you to avoid wasting time exhaustingly hashing already strong passwords. I mean, how high does that uniform work factor have to be?
The guy whose password is "password" or "qwerty12" is gonna get cracked no matter what, sure. But what about people whose passwords are a couple of dictionary words? If the work factor means each hash takes a second or two, even a slightly complex dictionary attack becomes fruitless (for most crackers...)
So the user can still log in, but it takes a second or two, and there's that little message, "To ensure the safety of your password, your login has been slowed down. If you use a more secure password, like <generate password>, you will login much faster!"
And the young lady using "6ab$TRa?" isn't being punished for the fact that most users use crappy passwords, nor is your server.