I enabled two-factor authentication (the new one available in iOS 9, OS X 10.11, etc., not the old two-step verification) for my Apple ID. After doing so, my MBP prompted me to change my password saying that I couldn't use my iCloud password to log in to it anymore, so I changed it. I expected the same thing to happen on my iMac, but it didn't. iMac is still happily using my iCloud password to log into my local account. Going into Users & Groups & clicking "Change Password" for my account on my iMac, I still get the same old "Use iCloud password..." option, but on my MBP I don't have that option.
Is this expected behavior? Why can I still use my iCloud password on my iMac, but not on my MBP?