How does Android handle SMS for default SMS app when in Doze Mode and priority is set to '10'?

Question

Consider the following scenario:

• an SMS app is registered as the default app
• the priority is set to 10 (as in code below)
• the phone enters Doze mode (STATE IDLE)

intent-filter android:priority="10"

When happens when an SMS is received? Will it wake up the phone from Doze mode? Will the message be delivered into the the app?

Thanks!