Yes, I had throttling disabled and one of the times I took off with the tablet at just 5 meters, I could climb to 120m and send the drone to 300m without OpenDroneID detecting it; I had to come back closer and wait for the beacon.
A fast flying by drone will be hard to detect, but a drone doing photos or videos in a more static way can be picked up easily.
Responsiveness of RID and devices able to track the drone will improve over time, we could already see that device tha pick up beacons quite fast and can listen up to the
M3 to more than 1Km.
The RC-N1 controller takes the GPS data from the mobile phone you use to fly, if you disable it on your phone it won't be shown, just the takeoff location will be.
The smart controllers have inbuilt GPS, but I don't know if in those can be deactivated or not.