EDIT/ANSWER: I tested and see there is a new fingerprint when you add a passphrase.
Yeah, it will be completely different fingerprint when you add a passphrase to SEED. Passport HW is also capable to show master fingeprint , and this feature is very useful at checking if password you have entered is correct. After you have entered password device, before creating wallet, shows master fingeprint to you and asks whether it is correct. If you see on display that some characters differ from those that relevant to your SEED+password it means you have entered the wrong password, forcing you to enter the correct one and, thus, protecting your nerves at checking balance on wrong wallet.