Emily,

Yes, I consider NOT having a headset a safety issue, but ANR
isn't necessary.

Being fatigued is a risk. Noise causes fatigue. ANR works against it.
In a dramatically effective way.

Also, ANR enables you to hear ATC much more clearly.

Personally, I like being able to hear the engine.

Ah, so you have never worn ANR. Because if you had, you knew that
statement has nothing to do with ANR. If anything, you can hear the
engine better.

--
Thomas Borchert (EDDH)