It makes complete sense to me.
I just double checked on my truck.
Unpluged LH sensor with RH pluged in - engine started - Check light on.
Unpluged LH and RH sensor - engine didnt start - no surprise there.
Unpluged RH sensor with LH pluged in - Engine started - Check light on.
With this test it shows both of my cam sensors are working. You should be able to work out your issue from there. Cheers