Is there any way to use sleep mode on WatchOS 7 without do not disturb activating on my iPhone?

I want to use my Apple Watch for sleep tracking, and want to use sleep mode so the watch display is completely off while I sleep.

However, I need my iPhone to NOT turn on Do Not Disturb (I need to be able to hear certain app notifications) when sleep mode is activated on the watch. I haven't been able to get this to work yet. Is this possible?