As far as I can tell, in Beta 2 without "Rest Finger to Unlock" enabled you have to press the home button to bring the phone to the home screen, regardless of whether the phone display is already on or you press the home button with Touch ID-enabled finger to open the phone.
With "Rest Finger to Unlock" enabled, you have three options (just like Beta 1):
Use home button to wake phone (with Touch ID-enabled finger) --> open phone to home screen in one shot
OR
Use power button, raise to wake or home button without Touch ID-enabled finger to wake phone. Then, rest Touch ID-enabled finger to unlock phone and press home button with any finger to open.
OR
Use power button, raise to wake or home button without Touch ID-enabled finger to wake phone. Then, press home button with Touch-ID enabled finger to simultaneously unlock and open phone to home button.
Basically, the difference between having "Rest Finger to Unlock" enabled is that, with it enabled, you can wake the phone and open to home screen with one press instead of two.